What is the answer to 4^x=6 ?

The answer to 4^x=6 is x=(ln(6))/(2ln(2))

The solution is x=(ln(6))/(2ln(2))

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4^x=6

4^{x} = 6

x = \frac{ln ( 6 )}{2 ln ( 2 )}

Decimal Notation

x = 1.29248 \dots

Solution steps

4^{x} = 6

Apply exponent rules

x ln (4) = ln (6)

Solve

x ln (4) = ln (6) : x = \frac{ln ( 6 )}{2 ln ( 2 )}

x = \frac{ln ( 6 )}{2 ln ( 2 )}

e^{2 x} - 7 e^{x} = - 10

5^{x^{2} + x} = 25

2 e^{3 y + 8} - 11 e^{5 - 10 y} = 0

2^{4 x - 2} = 3

4^{x} = 6^{x + 2}