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Solve each exponential equation. Give the exact value for x. (a)     7x =  1 49 x =     (b)     5x = 8 x =     (c)     4x = 2.5

Solve each exponential equation. Give the exact value for x. (a)     7x =  1 49 x =     (b)     5x = 8 x =     (c)     4x = 2.5

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Solve each exponential equation. Give the exact value for x.

(a)    
7x = 
1
49

x =
 
 


(b)    
5x = 8

x =
 
 


(c)    
4x = 2.5

x =
 
 


(d)    
4x = 5

x =
 
 

 

Expert Solution
Step 1

a) given: 7x = 1

Take log both side, we get:

7logx=log1

So x=0    (log1=0)

Then

Answer:   49x=0 

steps

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