Determine the algebraic modeling Solve for x: displaystyle{32}{left({1.05}right)}^{x}={90}

Reeves 2021-03-06 Answered
Determine the algebraic modeling
Solve for x: 32(1.05)x=90
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Tuthornt
Answered 2021-03-07 Author has 107 answers
Given: 32(1.05)x=90
Used concept:
logab=bloga
On solving the given equation,
32(1.05)x=90
(1.05)x=9032
On taking logarithm both sides, to obtain
log(1.05)x=log(9032)
xlog(1.05)=log(2.8125)
x=log(2.8125)log(1.05)
x21.194
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