   Chapter 0.8, Problem 56E

Chapter
Section
Textbook Problem

In Exercises 47–56, solve the given equation for the indicated variable. 10 , 000 = 700 ( 1.04 3 t + 1 ) (Round the answer to four decimal places.)

To determine

To calculate: The value of t in equation,

10000=700(1.043t+1).

Explanation

Given information:

The equation is

10000=700(1.043t+1).

Formula used:

The logarithmic identity,

logabm=mlogab

Here, a, m and b are real number.

Calculation:

Consider the equation,

10000=700(1.043t+1)

Simplify further,

10000=700(1.043t+1)10000700=1.043t+114.2857=1.043t+1

Take the log of both sides,

log14.2857=log1.043t+1

Now apply the logarithmic identity,

logabm=mlogab

log14

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