What is the answer to 24^x=8 ?

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

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

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24^x=8

2 4^{x} = 8

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

Decimal Notation

x = 0.65431 \dots

Solution steps

2 4^{x} = 8

Apply exponent rules

x ln (24) = ln (8)

Solve

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

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

7^{5 x + 4} = 28

9^{x^{2} + x} = 2 7^{x^{2} - 1}

2 7^{x^{2} - x - 6} = 1

6 = 4^{2 X - 1}