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Radda [10]
4 years ago
6

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

Mathematics
1 answer:
jonny [76]4 years ago
4 0

Answer:

0.531 (3 s.f.)

Step-by-step explanation:

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

Power rule is used for the 3rd step.

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