What is the answer to 12^t=24 ?

The answer to 12^t=24 is t=(ln(24))/(ln(12))

The solution is t=(ln(24))/(ln(12))

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12^t=24

1 2^{t} = 24

t = \frac{ln ( 24 )}{ln ( 12 )}

Decimal Notation

t = 1.27894 \dots

Solution steps

1 2^{t} = 24

Apply exponent rules

t ln (12) = ln (24)

Solve

t ln (12) = ln (24) : t = \frac{ln ( 24 )}{ln ( 12 )}

t = \frac{ln ( 24 )}{ln ( 12 )}

1 6^{x + 7} = 4^{x + 3} \cdot 6 4^{5}

2 5^{- 3} = 5^{x}

1 6^{x + 1} = 4^{4 x + 1}

\frac{e ^{x} + e ^{- x}}{2} = 4