What is the answer to log_{10}(200)=4-3log_{10}(x) ?

The answer to log_{10}(200)=4-3log_{10}(x) is x= 1/(10^{(log_{10)(200)-4)/3}}

Solve for x: log_{10}(200)=4-3log_{10}(x)

The solution is x= 1/(10^{(log_{10)(200)-4)/3}}

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lo g_{10} (200) = 4 - 3 lo g_{10} (x)

x = \frac{1}{1 0 ^{\frac{l o g _{10} ( 200 ) - 4}{3}}}

Decimal Notation

x = 3.68403 \dots

Solution steps

lo g_{10} (200) = 4 - 3 lo g_{10} (x)

Switch sides

4 - 3 lo g_{10} (x) = lo g_{10} (200)

Move

4

to the right side

- 3 lo g_{10} (x) = lo g_{10} (200) - 4

Divide both sides by

- 3

lo g_{10} (x) = - \frac{lo g _{10} ( 200 ) - 4}{3}

Apply log rules

x = \frac{1}{1 0 ^{\frac{l o g _{10} ( 200 ) - 4}{3}}}

Verify Solutions:

x = \frac{1}{1 0 ^{\frac{l o g _{10} ( 200 ) - 4}{3}}}

True

The solution is

x = \frac{1}{1 0 ^{\frac{l o g _{10} ( 200 ) - 4}{3}}}

lo g_{7} (w) - lo g_{7} (13) = 1

10 - 2 lo g_{10} (x - 3) = 8

lo g_{x} (2) = - 3

lo g_{a} (36) = 2

lo g_{10} (x) + y (3) = 2

What is the answer to log_{10}(200)=4-3log_{10}(x) ?
The answer to log_{10}(200)=4-3log_{10}(x) is x= 1/(10^{(log_{10)(200)-4)/3}}
Solve for x: log_{10}(200)=4-3log_{10}(x)
The solution is x= 1/(10^{(log_{10)(200)-4)/3}}