What is the answer to 6^x=4 ?

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

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

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6^x=4

6^{x} = 4

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

Decimal Notation

x = 0.77370 \dots

Solution steps

6^{x} = 4

Apply exponent rules

x ln (6) = ln (4)

Solve

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

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

2^{x + 2} - 4^{x + 1} = - 960

5 = 3^{x}

1 7^{x} = 2

3^{2 x - 3} = 27

2^{x + 2} + 3 \cdot 2^{x - 1} = 22