What is the answer to 10=8^t ?

The answer to 10=8^t is t=(ln(10))/(3ln(2))

The solution is t=(ln(10))/(3ln(2))

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10=8^t

10 = 8^{t}

t = \frac{ln ( 10 )}{3 ln ( 2 )}

Solution steps

10 = 8^{t}

Apply exponent rules

ln (10) = t ln (8)

Solve

ln (10) = t ln (8) : t = \frac{ln ( 10 )}{3 ln ( 2 )}

t = \frac{ln ( 10 )}{3 ln ( 2 )}

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