What is the answer to 3^x=32 ?

The answer to 3^x=32 is x=(5ln(2))/(ln(3))

The solution is x=(5ln(2))/(ln(3))

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3^x=32

3^{x} = 32

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

Decimal Notation

x = 3.15464 \dots

Solution steps

3^{x} = 32

Apply exponent rules

x ln (3) = ln (32)

Solve

x ln (3) = ln (32) : x = \frac{5 ln ( 2 )}{ln ( 3 )}

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

50 = 200 (0.75)^{t}

0 = e^{x} x^{2} - e^{x}

8^{x - 5} = \frac{1}{16} 2

e^{13 x + 1} = k

1 8^{0} = \frac{1 8 ^{w}}{1 8 ^{7}}