What is the answer to 7^x=100 ?

The answer to 7^x=100 is x=(2ln(10))/(ln(7))

The solution is x=(2ln(10))/(ln(7))

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7^x=100

7^{x} = 100

x = \frac{2 ln ( 10 )}{ln ( 7 )}

Decimal Notation

x = 2.36658 \dots

Solution steps

7^{x} = 100

Apply exponent rules

x ln (7) = ln (100)

Solve

x ln (7) = ln (100) : x = \frac{2 ln ( 10 )}{ln ( 7 )}

x = \frac{2 ln ( 10 )}{ln ( 7 )}

(\frac{4}{5})^{x} = 4

3^{b} = 17

(23)^{3 x - 4} = 20736

(e^{x} + 1)^{3} e^{- x} d y = 0

2 \cdot 4^{x} - 5 \cdot 2^{x} + 2 = 0