Solve the equation: 5^(3t)=13

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asked May 26, 2021 15.5k views

3 votes

Solve the equation: 5^(3t)=13

Mathematics
middle-school

Dragan Bozanovic asked

by Dragan Bozanovic

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1 Answer

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Answer:

0.531 (3 s.f.)

Explanation:

${5}^(3t) = 13 \\ lg {5}^(3t) = lg13 \: \: \: \: (log \: both \: sides) \\ 3t(lg5) = lg13 \\ 3t = (lg13)/(lg5) \\ t = (1)/(3) ( (lg13)/(lg5) ) \\ t = (lg13)/(3lg5) \\ t = 0.531 \: (3 \: s.f.)$

Power rule is used for the 3rd step.

Mikle answered May 31, 2021

by Mikle

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