Chapter 11: Q. 154 (page 1069)

In the following exercises, find the value of x in each logarithmic equation.
$\log_{x} 49 = 2$

Short Answer

Expert verified

The value of the $x$ is $7$

Step by step solution

Step 1. Given information

The given equation is $\log_{x} 49 = 2$

We have to find the value of $x$

Step 2. Formula used

The logarithm form $y = \log_{a} x$ is equal to exponential form $x = a^{y}$

Using the formula to find the value of x

Comparing $\log_{x} 49 = 2$ with $y = \log_{a} x$ ,

We have $y = 2 a = x x = 49$

Put these values in $x = a^{y}$

$49 = x^{2} x = \pm \sqrt{49} x = \pm 7$

Since the base cannot be negative.

Therefore,

$x = 7$

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In the following exercises, find the value of x in each logarithmic equation.
$\log_{x} 49 = 2$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formula used

Using the formula to find the value of x

One App. One Place for Learning.

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In the following exercises, find the value of x in each logarithmic equation.logx49=2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formula used

Using the formula to find the value of x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Decision Maths

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Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the value of x in each logarithmic equation.
$\log_{x} 49 = 2$