(a) Find the exact solution of the exponential equation in terms of logarithms.

Lennie Carroll

Lennie Carroll

Answered question

2021-10-21

(a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator to find an approximation to the solution rounded to six decimal places.
105x=10

Answer & Explanation

Gennenzip

Gennenzip

Skilled2021-10-22Added 96 answers

Step 1
Given :
105x=10
To find :
a) The exact solution of the exponential equation in terms of logarithms.
b) To find an approximation to the solution.
Step 2
Formula :
log(mn)=nlogm
105x=10
Taking logarithm on both sides we get,
log(105x)=log10
5xlog10=log10
-5x=1
x=15=0.2

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