What is the answer to 2(5^x)=32 ?

The answer to 2(5^x)=32 is x=(4ln(2))/(ln(5))

Solve for x: 2(5^x)=32

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

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2 (5^{x}) = 32

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

Decimal Notation

x = 1.72270 \dots

Solution steps

2 (5^{x}) = 32

Divide both sides by

2

5^{x} = 16

Apply exponent rules

x ln (5) = ln (16)

Solve

x ln (5) = ln (16) : x = \frac{4 ln ( 2 )}{ln ( 5 )}

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

2^{2 x + 2} = 2^{3 x}

e^{2 x} - 12 e^{x} + 11 = 0

e^{x^{2}} = e^{3 x} \cdot \frac{1}{e ^{2}}

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

64 x 8^{x} = 8^{11}