What is the answer to log_{10}(8)=3-3log_{10}(x) ?

The answer to log_{10}(8)=3-3log_{10}(x) is x= 1/(10^{(3log_{10)(2)-3)/3}}

Solve for x: log_{10}(8)=3-3log_{10}(x)

The solution is x= 1/(10^{(3log_{10)(2)-3)/3}}

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lo g_{10} (8) = 3 - 3 lo g_{10} (x)

x = \frac{1}{1 0 ^{\frac{3 l o g _{10} ( 2 ) - 3}{3}}}

Decimal Notation

x = 5

Solution steps

lo g_{10} (8) = 3 - 3 lo g_{10} (x)

Switch sides

3 - 3 lo g_{10} (x) = lo g_{10} (8)

Move

3

to the right side

- 3 lo g_{10} (x) = lo g_{10} (8) - 3

Divide both sides by

- 3

lo g_{10} (x) = - \frac{lo g _{10} ( 8 ) - 3}{3}

Apply log rules

x = \frac{1}{1 0 ^{\frac{3 l o g _{10} ( 2 ) - 3}{3}}}

Verify Solutions:

x = \frac{1}{1 0 ^{\frac{3 l o g _{10} ( 2 ) - 3}{3}}}

True

The solution is

x = \frac{1}{1 0 ^{\frac{3 l o g _{10} ( 2 ) - 3}{3}}}

0.891 = ln (x^{3})

x, ln (y) = 4 ln (x) + c

ln (3 x - 18) = 8

ln (3 x - 18) = 7

ln (y + 2) = 0

What is the answer to log_{10}(8)=3-3log_{10}(x) ?
The answer to log_{10}(8)=3-3log_{10}(x) is x= 1/(10^{(3log_{10)(2)-3)/3}}
Solve for x: log_{10}(8)=3-3log_{10}(x)
The solution is x= 1/(10^{(3log_{10)(2)-3)/3}}