What is the answer to xlog_{10}(x)=100x ?

The answer to xlog_{10}(x)=100x is x=10^{100}

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xlog_{10}(x)=100x

x lo g_{10} (x) = 100 x

x = 1 0^{100}

Solution steps

x lo g_{10} (x) = 100 x

Move

100 x

to the left side

x lo g_{10} (x) - 100 x = 0

Factor

x lo g_{10} (x) - 100 x : x (lo g_{10} (x) - 100)

x (lo g_{10} (x) - 100) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or lo g_{10} (x) - 100 = 0

Solve

lo g_{10} (x) - 100 = 0 : x = 1 0^{100}

Verify Solutions:

x = 0

False

, x = 1 0^{100}

True

The solution is

x = 1 0^{100}

5 ln (2 x - 9) - 12 = 18

lo g_{10} (x + 1) = 0

lo g_{10} (\frac{x + 9}{x}) = 2

lo g_{3} (x^{2} - 3 x - 7) = 1

y, x = lo g_{e} (y - 2)

What is the answer to xlog_{10}(x)=100x ?
The answer to xlog_{10}(x)=100x is x=10^{100}
Solve for x: xlog_{10}(x)=100x
The solution is x=10^{100}