What is the answer to 20=5+6log_{10}(x/5) ?

The answer to 20=5+6log_{10}(x/5) is x=500sqrt(10)

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20=5+6log_{10}(x/5)

20 = 5 + 6 lo g_{10} (\frac{x}{5})

x = 50010

Decimal Notation

x = 1581.13883 \dots

Solution steps

20 = 5 + 6 lo g_{10} (\frac{x}{5})

Switch sides

5 + 6 lo g_{10} (\frac{x}{5}) = 20

Move

5

to the right side

6 lo g_{10} (\frac{x}{5}) = 15

Divide both sides by

6

lo g_{10} (\frac{x}{5}) = \frac{5}{2}

Apply log rules

\frac{x}{5} = 1 0^{\frac{5}{2}}

Multiply both sides by

5

\frac{x}{5} \cdot 5 = 1 0^{\frac{5}{2}} \cdot 5

Simplify

1 0^{\frac{5}{2}} \cdot 5 : 50010

x = 50010

Verify Solutions:

x = 50010

True

The solution is

x = 50010

3 lo g_{10} (1 + x) = lo g_{10} (8)

ln (x + 4) + ln (x - 4) = 0

2 \cdot lo g_{10} (x) = 12.2

lo g_{10} (x^{2} + 1) = 2

G (x) = lo g_{9} (x^{5})

What is the answer to 20=5+6log_{10}(x/5) ?
The answer to 20=5+6log_{10}(x/5) is x=500sqrt(10)
Solve for x: 20=5+6log_{10}(x/5)
The solution is x=500sqrt(10)