What is the answer to ln(sqrt(x+8))+ln(10)=3 ?

The answer to ln(sqrt(x+8))+ln(10)=3 is x=(e^6)/(100)-8

Solve for x: ln(sqrt(x+8))+ln(10)=3

The solution is x=(e^6)/(100)-8

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ln (x + 8) + ln (10) = 3

x = \frac{e ^{6}}{100} - 8

Decimal Notation

x = - 3.96571 \dots

Solution steps

ln (x + 8) + ln (10) = 3

Move

ln (10)

to the right side

ln (x + 8) = 3 - ln (10)

Apply log rules

x + 8 = \frac{e ^{3}}{10}

Solve

x + 8 = \frac{e ^{3}}{10} : x = \frac{e ^{6}}{100} - 8

x = \frac{e ^{6}}{100} - 8

Verify Solutions:

x = \frac{e ^{6}}{100} - 8

True

The solution is

x = \frac{e ^{6}}{100} - 8

x, f x = ln (14 x)

25 - ln (3 - x) = 0

lo g_{\frac{2}{5}} (x) = 2

0.22 = ln (x)

lo g_{2} (2 x^{2} + 10 x + 16) = 2

What is the answer to ln(sqrt(x+8))+ln(10)=3 ?
The answer to ln(sqrt(x+8))+ln(10)=3 is x=(e^6)/(100)-8
Solve for x: ln(sqrt(x+8))+ln(10)=3
The solution is x=(e^6)/(100)-8