Log24=logz+2log2

Q: log

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Q: 10x log

A: log(10x/3)=log(10x)-log(3)                 = log(10)+log(x)-log(3)

Q: Find a formula for the exponential function passing through the points (-3, 5/8) and (2, 20). y =

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Q: express as sum of logarithms log4(14*22)

A: Here we use the product rule for the logarithms function:

Q: Find the value of x. logx 1/1000 = −3

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Q: Solve for : log(x + 5) – log(x + 2) = 2

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Q: Solve 2 log5 x = 3 log5 4

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Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

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Q: Solve for x. log5 625 = x

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Q: Expand log(sqrt x^5*y^-10)

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Q: Expand: logb(x3√y).

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Q: Solve for log2 (4 – x)- log2(3+ x) = log, 6. |

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Q: exponential function

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Q: Write as the natural log of a single expression: 2 ln 5 + 3 ln 4

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Q: A colony of bacteria is growing exponentially. On day 1, the colony contains 7 bacteria. On day 2,…

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Q: Find a formula for the exponential function passing through the points (-2, - -) and (1,20) 16

A: -2,516 and 1,20 Let the exponential function be yn=abxn. Substitute both the point in the assumed…

Q: Find a formula for the exponential function passing through the points (-3,- -) and (2,32) 32 y =

A: The standard form of exponential function is given below: y=abx where, a≠0, b>0 and b≠1.

Q: log2x+log2(x+4)=3 x=

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Q: Express using a single log2Log a2 – Log b – 2 Log a2b + 2Log b

A: The given expression is as follows:2Log a2 – Log b – 2 Log a2b + 2Log b

Q: Expand log2 (2) as a sum and/or difference of logarithms without exponents.

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Q: Find a formula for the exponential function passing through the points (-2, 4 over 25) and (2, 100).…

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Q: Evaluate the expression without using a calculator. logzv3 O3 O1 1

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Q: Solve for xx. log2(x)+log2(x−12)=6

A: The given equation is log2x+log2x-12=6. Solve the above equation as follows.

Q: Logx=log12-2log2+log3

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Q: State two applications of logarithms.

A: To state two applications of logarithms.

Q: If logx^½64 = 3. Find the value of x

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Q: Suppose loga 15 and log, 5 = 22, find: a) log, 9 b) log, 75 c) log,

A: Given Data: loga3=15loga5=22 (a) loga9 Solve the given logarithmic function.…

Q: Estimate using the change of base formula.

A: We have to estimate the logarithmic expression using base change formula: log612 We know base change…

Q: ) Solve for x: log4 x = 4

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Differentiate logx 2

A: We have to find the derivative

Q: 2log5(x-3) - log5(8) = log5(2)

A: Simplify the given logarithmic equation as follows.

Q: Find a formula for the exponential function passing through the points (-1,5/4) and (2,80) y =

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Q: Solve for x Log2 5+log2 4=log2 10x

A: We use logarithmic properties to solve this equation

Q: Solve for x:  log381x - log3 32x = 3

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Q: Solve for x: Log3(x-5)+Log3(x+3)=2

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Q: Log

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Q: log () 10

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Q: Calculate log_10(5)

A: calculate: log_10(5)

Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

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Q: Find a formula for the exponential function passing through the points (-2,2/9) and (1,6)

A: Find a formula for the exponential function passing through the points -2,29 and 1,6. Let y=abx be…

Q: Value of log2 32+ log₂ 16, will be.

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Q: log(x) - log(7z) log

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Q: log (1000x)

A: Given,          log1000x

Q: 2log46-log49

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Q: Solve for x: log3(x^7)=−5 x=

A: We have to find

Q: Express as a sum, difference, or multiple of logarithms.

A: The answer is given in the below photo.