What is the answer to 20^x=100 ?

The answer to 20^x=100 is x=(2ln(10))/(ln(20))

Solve for x: 20^x=100

The solution is x=(2ln(10))/(ln(20))

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2 0^{x} = 100

x = \frac{2 ln ( 10 )}{ln ( 20 )}

Decimal Notation

x = 1.53724 \dots

Solution steps

2 0^{x} = 100

Apply exponent rules

x ln (20) = ln (100)

Solve

x ln (20) = ln (100) : x = \frac{2 ln ( 10 )}{ln ( 20 )}

x = \frac{2 ln ( 10 )}{ln ( 20 )}

2^{a} = 32

e^{9 - 4 x} = 3

(\frac{1}{4})^{x - 2} = 64

e^{2 x} = 8

5^{z} = 2 5^{3 z - 2}