What is the answer to 2^x=36 ?

The answer to 2^x=36 is x=(2ln(6))/(ln(2))

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

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2^x=36

2^{x} = 36

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

Decimal Notation

x = 5.16992 \dots

Solution steps

2^{x} = 36

Apply exponent rules

x ln (2) = ln (36)

Solve

x ln (2) = ln (36) : x = \frac{2 ln ( 6 )}{ln ( 2 )}

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

7^{3 x - 2} = 2401

5 (2^{x + 1}) - 4^{x} = 16

4 9^{x + 3} = 7^{x^{2} - 3 x - 8}

1 + 9^{x} = 3^{x + 1} + 3^{x - 1}

\frac{9 ^{x}}{9 ^{3}} = 9^{5}