What is the answer to 8^x=24 ?

The answer to 8^x=24 is x=(ln(24))/(3ln(2))

The solution is x=(ln(24))/(3ln(2))

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8^x=24

8^{x} = 24

x = \frac{ln ( 24 )}{3 ln ( 2 )}

Decimal Notation

x = 1.52832 \dots

Solution steps

8^{x} = 24

Apply exponent rules

x ln (8) = ln (24)

Solve

x ln (8) = ln (24) : x = \frac{ln ( 24 )}{3 ln ( 2 )}

x = \frac{ln ( 24 )}{3 ln ( 2 )}

2^{3 x + 15} = 1

(2^{x})^{2} - 5 \cdot 2^{x} + 4 = 0

3^{x - 2} = 7^{x}

5^{2 x} = 5^{7 x - 1}

(0.3)^{1 + x} = 1. 7^{2 x - 1}