What is the answer to 5^x=4 ?

The answer to 5^x=4 is x=(2ln(2))/(ln(5))

The solution is x=(2ln(2))/(ln(5))

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5^x=4

5^{x} = 4

x = \frac{2 ln ( 2 )}{ln ( 5 )}

Solution steps

5^{x} = 4

Apply exponent rules

x ln (5) = ln (4)

Solve

x ln (5) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( 5 )}

x = \frac{2 ln ( 2 )}{ln ( 5 )}

6^{x} = 216

3^{2 x + 2} + 3^{x + 3} - 10 = 0

2 5^{x} - 6 \cdot 5^{x} + 5 = 0

2^{x + 1} = 8

3^{x} = 17