What is the answer to 5(2^x)=4 ?

The answer to 5(2^x)=4 is x=(ln(4/5))/(ln(2))

Solve for x: 5(2^x)=4

The solution is x=(ln(4/5))/(ln(2))

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5 (2^{x}) = 4

x = \frac{ln ( \frac{4}{5} )}{ln ( 2 )}

Decimal Notation

x = - 0.32192 \dots

Solution steps

5 (2^{x}) = 4

Divide both sides by

5

2^{x} = \frac{4}{5}

Apply exponent rules

x ln (2) = ln (\frac{4}{5})

Solve

x ln (2) = ln (\frac{4}{5}) : x = \frac{ln ( \frac{4}{5} )}{ln ( 2 )}

x = \frac{ln ( \frac{4}{5} )}{ln ( 2 )}

x, 3^{8 x} = 4^{- x - 7}

(\frac{3}{5})^{x} = \frac{9}{25}

6^{x + 1} - 6^{x} = 1080

4^{X + 3} \cdot 8^{2 X - 1} = 2

(\frac{1}{6})^{2 x} = 36