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Chapter 11: Q. 154 (page 1069)

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

logx49=2

Short Answer

Expert verified

The value of the xis7

Step by step solution

01

Step 1. Given information

The given equation is logx49=2

We have to find the value ofx

02

Step 2. Formula used

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

03

Using the formula to find the value of x

Comparing logx49=2with y=logax,

We have y=2a=xx=49

Put these values in x=ay

49=x2x=卤49x=卤7

Since the base cannot be negative.

Therefore,

x=7

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