   Chapter 0.8, Problem 55E

Chapter
Section
Textbook Problem

In Exercises 47–56, solve the given equation for the indicated variable. 1 , 000 = 300 ( 1.3 4 t − 1 ) (Round the answer to four decimal places.)

To determine

To calculate: The value of t in equation, 1000=300( 1.3 4t1 ).

Explanation

Given information:

The equation is 1000=300( 1.3 4t1 ).

Formula used:

The logarithmic identity,

log a b m =mlog a b

Here, a, m and b are real number.

Calculation:

Consider the equation,

1000=300( 1.3 4t1 )

Simplify further,

1000=300( 1.3 4t1 ) 1000 300 =1.3 4t1 3.33=1.3 4t1

Take the log of both sides,

log3.33=log1.3 4t1

Now apply the logarithmic identity, log a b m =mlog a b

log3

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