What is the answer to x^{log_{10}(x)-1}=100 ?

The answer to x^{log_{10}(x)-1}=100 is x=100,x= 1/10

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x^{log_{10}(x)-1}=100

x^{l o g_{10} (x) - 1} = 100

x = 100, x = \frac{1}{10}

Decimal Notation

x = 100, x = 0.1

Solution steps

x^{l o g_{10} (x) - 1} = 100

Apply exponent rules

(lo g_{10} (x) - 1) ln (x) = ln (100)

Solve

(lo g_{10} (x) - 1) ln (x) = ln (100) : x = 100, x = \frac{1}{10}

x = 100, x = \frac{1}{10}

Verify Solutions:

x = 100

True

, x = \frac{1}{10}

True

The solutions are

x = 100, x = \frac{1}{10}

2^{x + 3} + 63 = \frac{8}{2 ^{x}}

3^{n} = 33

8^{\frac{7 x + 1}{x}} = 0.25

1. 1^{x} = 100

1. 2^{x} = (0.5)^{- x}

What is the answer to x^{log_{10}(x)-1}=100 ?
The answer to x^{log_{10}(x)-1}=100 is x=100,x= 1/10
Solve for x: x^{log_{10}(x)-1}=100
The solution is x=100,x= 1/10