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# College algebra #11

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Solve the exponential equation for t. You may use either the common logarithm or the natural logarithm. (Round your answer to two decimal places.)

2 × 5^t = 22

t= ________?

idenny  Apr 12, 2017
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2 × 5^t = 22

$$2 × 5^t = 22\\ 5^t = 11\\ log5^t =log 11\\ t*log5 =log 11\\ t=\frac{log 11}{log5}\\$$

(log(11))/(log(5)) = 1.489896102404978

Melody  Apr 12, 2017