What is the answer to 2=1.2^x ?

The answer to 2=1.2^x is x=(ln(2))/(ln(1.2))

The solution is x=(ln(2))/(ln(1.2))

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2=1.2^x

2 = 1. 2^{x}

x = \frac{ln ( 2 )}{ln ( 1.2 )}

Decimal Notation

x = 3.80178 \dots

Solution steps

2 = 1. 2^{x}

Apply exponent rules

ln (2) = x ln (1.2)

Solve

ln (2) = x ln (1.2) : x = \frac{ln ( 2 )}{ln ( 1.2 )}

x = \frac{ln ( 2 )}{ln ( 1.2 )}

5^{5 x + 2} = 15

e^{4 - 4 x} = 3

e^{x} = \frac{5}{2}

\frac{e ^{x} + e ^{- x}}{e ^{x} + 1} = 4

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