What is the answer to 3^x=24 ?

The answer to 3^x=24 is x=(ln(24))/(ln(3))

The solution is x=(ln(24))/(ln(3))

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3^x=24

3^{x} = 24

x = \frac{ln ( 24 )}{ln ( 3 )}

Decimal Notation

x = 2.89278 \dots

Solution steps

3^{x} = 24

Apply exponent rules

x ln (3) = ln (24)

Solve

x ln (3) = ln (24) : x = \frac{ln ( 24 )}{ln ( 3 )}

x = \frac{ln ( 24 )}{ln ( 3 )}

\frac{4 ^{6}}{4 ^{x}} = 4^{0}

2^{2 y} \cdot 2^{2 y - 12} = 16

x, 5^{4 x} = m + 1

4^{x} + 2^{x + 1} = 80

3^{2 x - 1} = 4 (3^{x}) - 9