Solve the exponential equation \(\displaystyle{10}^{{x}}={8.07}\) . Express

Erik Cantu

Erik Cantu

Answered question

2022-03-22

Solve the exponential equation 10x=8.07 . Express the solution set in terms of natural logarithms or common logarithms.Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.

Answer & Explanation

Pubephenedsjq

Pubephenedsjq

Beginner2022-03-23Added 11 answers

Given exponential equation is 10x=8.07.
We know that log(mn)=nlogm.
Taking logarithm on both sides,
log10x=log(8.07)
xlog10=log(8071000)
x1=log(807)log(10)2
x=2.902
x=0.90

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