What is the answer to 9^{5x}=1024 ?

The answer to 9^{5x}=1024 is x=(ln(2))/(ln(3))

Solve for x: 9^{5x}=1024

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

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9^{5 x} = 1024

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

Decimal Notation

x = 0.63092 \dots

Solution steps

9^{5 x} = 1024

Apply exponent rules

5 x ln (9) = ln (1024)

Solve

5 x ln (9) = ln (1024) : x = \frac{ln ( 2 )}{ln ( 3 )}

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

y, x = e^{- y}

4^{x - 1} = 2

5 (1.2)^{x - 1} = 4

(\frac{625}{256})^{5 x - 4} = 1

16 = 4^{x}

What is the answer to 9^{5x}=1024 ?
The answer to 9^{5x}=1024 is x=(ln(2))/(ln(3))
Solve for x: 9^{5x}=1024
The solution is x=(ln(2))/(ln(3))