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

The answer to x^{5+log_{10}(x)}=10^{-6} is x= 1/100 ,x= 1/1000

Solve for x: x^{5+log_{10}(x)}=10^{-6}

The solution is x= 1/100 ,x= 1/1000

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x^{5 + l o g_{10} (x)} = 1 0^{- 6}

x = \frac{1}{100}, x = \frac{1}{1000}

Solution steps

x^{5 + l o g_{10} (x)} = 1 0^{- 6}

Apply exponent rules

(5 + lo g_{10} (x)) ln (x) = - 6 ln (10)

Solve

(5 + lo g_{10} (x)) ln (x) = - 6 ln (10) : x = \frac{1}{100}, x = \frac{1}{1000}

x = \frac{1}{100}, x = \frac{1}{1000}

Verify Solutions:

x = \frac{1}{100}

True

, x = \frac{1}{1000}

True

The solutions are

x = \frac{1}{100}, x = \frac{1}{1000}

3^{2 x + 3} = 243

x, 4^{x} + 5^{y} = 21

m, x^{m - 1} = 0

7^{x - 3} \cdot 98 = 14

e^{y} = 11

What is the answer to x^{5+log_{10}(x)}=10^{-6} ?
The answer to x^{5+log_{10}(x)}=10^{-6} is x= 1/100 ,x= 1/1000
Solve for x: x^{5+log_{10}(x)}=10^{-6}
The solution is x= 1/100 ,x= 1/1000