   Chapter 0.8, Problem 51E

Chapter
Section
Textbook Problem

In Exercises 47–56, solve the given equation for the indicated variable. 5 − x + 1 = 1 125

To determine

To calculate: The value of x in equation, 5 x+1 =1 125 .

Explanation

Given information:

The equation is 5 x+1 =1 125 .

Formula used:

The logarithmic identity,

log a a=1

and log a b m =mlog a b

Here, a, m and b are real number.

Calculation:

Consider the equation,

5 x+1 =1 125

Simplify further

5 x+1 =125 1

Take the log base 5 of both sides

log 5 5 x+1 =log 5 125 1

Now apply the logarithmic identity, log a

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