What is the answer to 2log_{8}(x+5)=3 ?

The answer to 2log_{8}(x+5)=3 is x=16sqrt(2)-5

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2log_{8}(x+5)=3

2 lo g_{8} (x + 5) = 3

x = 162 - 5

Decimal Notation

x = 17.62741 \dots

Solution steps

2 lo g_{8} (x + 5) = 3

Divide both sides by

2

lo g_{8} (x + 5) = \frac{3}{2}

Apply log rules

x + 5 = 162

Solve

x + 5 = 162 : x = 162 - 5

x = 162 - 5

Verify Solutions:

x = 162 - 5

True

The solution is

x = 162 - 5

lo g_{5} (m) = - 4

ln (x^{2}) = ln (10 x) - 3

- 3 = 10 lo g_{10} (\frac{x}{1})

ln (4 x) - 3 ln (x^{2}) = ln (3)

ln (x) + ln (x + 3) = 0

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