What is the answer to ln(x)(sqrt(2+3))/2 =8 ?

The answer to ln(x)(sqrt(2+3))/2 =8 is x=e^{(16)/(sqrt(5))}

Solve for x: ln(x)(sqrt(2+3))/2 =8

The solution is x=e^{(16)/(sqrt(5))}

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ln (x) \frac{2 + 3}{2} = 8

x = e^{\frac{16}{5}}

Decimal Notation

x = 1281.02719 \dots

Solution steps

ln (x) \frac{2 + 3}{2} = 8

Simplify

\frac{2 + 3}{2} : \frac{5}{2}

ln (x) \frac{5}{2} = 8

Multiply both sides by

2

5 ln (x) = 16

Divide both sides by

5

ln (x) = \frac{16 5}{5}

Simplify

\frac{16 5}{5} : \frac{16}{5}

ln (x) = \frac{16}{5}

Apply log rules

x = e^{\frac{16}{5}}

Verify Solutions:

x = e^{\frac{16}{5}}

True

The solution is

x = e^{\frac{16}{5}}

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\frac{1 - ln ( 2 x )}{x ^{2}} = 0

What is the answer to ln(x)(sqrt(2+3))/2 =8 ?
The answer to ln(x)(sqrt(2+3))/2 =8 is x=e^{(16)/(sqrt(5))}
Solve for x: ln(x)(sqrt(2+3))/2 =8
The solution is x=e^{(16)/(sqrt(5))}