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Chapter 10: Q. 157 (page 1033)

In the following exercises, find the value of xin each logarithmic equation.

logx64=3

Short Answer

Expert verified

The value of thexis4

Step by step solution

01

Step 1. Given information

The given equation islogx64=3

We have to find the value ofx

02

Step 2. Formula used

The logarithm form y=logaxis equal to exponential formx=ay

03

Step 3. Using the formula to find the value of x

Comparing logx64=3with y=logax

We have, y=3a=xx=64y=3a=xx=64

Put these values in x=ay

64=x3x3=64x=4

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