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Chapter 10: Q. 158 (page 1033)

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

log3x=4

Short Answer

Expert verified

The value of thexis81

Step by step solution

01

Step 1. Given information

The given equation islog3x=4

We have to find the value ofx

02

Step 2. Formula used

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

03

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

Comparing log3x=4with y=logax

We have, y=4a=3x=x

Put these values inx=ay

x=ayx=34x=81

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