What is the answer to 100=2^x ?

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

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

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100=2^x

100 = 2^{x}

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

Decimal Notation

x = 6.64385 \dots

Solution steps

100 = 2^{x}

Apply exponent rules

ln (100) = x ln (2)

Solve

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

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

4^{2 x - 3} = 7^{x}

4^{2 x + 3} = 8^{x + 5}

8^{4 n - 2} = 4^{3 n + 3}

(x^{2} - 5) (e^{x} - 5) = 0

16 = 2^{x - 2}