What is the answer to 5*2^{3x+1}=30 ?

The answer to 5*2^{3x+1}=30 is x=(ln(3))/(3ln(2))

Solve for x: 5*2^{3x+1}=30

The solution is x=(ln(3))/(3ln(2))

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5 \cdot 2^{3 x + 1} = 30

x = \frac{ln ( 3 )}{3 ln ( 2 )}

Decimal Notation

x = 0.52832 \dots

Solution steps

5 \cdot 2^{3 x + 1} = 30

Divide both sides by

5

2^{3 x + 1} = 6

Apply exponent rules

(3 x + 1) ln (2) = ln (6)

Solve

(3 x + 1) ln (2) = ln (6) : x = \frac{ln ( 3 )}{3 ln ( 2 )}

x = \frac{ln ( 3 )}{3 ln ( 2 )}

e^{- x^{2}} (1 - 2 x^{2}) = 0

n, (x^{4})^{n} = x^{16}

\frac{10 0 ^{x} - 1}{1 0 ^{x} + 1} = 9

\frac{3 ^{27}}{2 7 ^{3}} = 3^{k}

x, (\frac{1}{4})^{x} = 4

What is the answer to 5*2^{3x+1}=30 ?
The answer to 5*2^{3x+1}=30 is x=(ln(3))/(3ln(2))
Solve for x: 5*2^{3x+1}=30
The solution is x=(ln(3))/(3ln(2))