What is the answer to 3^x=100 ?

The answer to 3^x=100 is x=(2ln(10))/(ln(3))

The solution is x=(2ln(10))/(ln(3))

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3^x=100

3^{x} = 100

x = \frac{2 ln ( 10 )}{ln ( 3 )}

Decimal Notation

x = 4.19180 \dots

Solution steps

3^{x} = 100

Apply exponent rules

x ln (3) = ln (100)

Solve

x ln (3) = ln (100) : x = \frac{2 ln ( 10 )}{ln ( 3 )}

x = \frac{2 ln ( 10 )}{ln ( 3 )}

3^{x - 5} = 2 7^{1 - x}

x^{l o g_{10} (4 x)} - 17 = 239

x e^{x} - 2 = 0

6^{3 x + 1} = 2^{2 x - 3}

10 0^{x} = 1