What is the answer to x^{2+log_{10}(10x)}=10000 ?

The answer to x^{2+log_{10}(10x)}=10000 is x=10,x= 1/10000

Solve for x: x^{2+log_{10}(10x)}=10000

The solution is x=10,x= 1/10000

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x^{2 + l o g_{10} (10 x)} = 10000

x = 10, x = \frac{1}{10000}

Decimal Notation

x = 10, x = 0.0001

Solution steps

x^{2 + l o g_{10} (10 x)} = 10000

Apply exponent rules

(2 + lo g_{10} (10 x)) ln (x) = ln (10000)

Solve

(2 + lo g_{10} (10 x)) ln (x) = ln (10000) : x = 10, x = \frac{1}{10000}

x = 10, x = \frac{1}{10000}

Verify Solutions:

x = 10

True

, x = \frac{1}{10000}

True

The solutions are

x = 10, x = \frac{1}{10000}

\frac{( \frac{1}{5} ) ^{3 x}}{2 5 ^{2 + x}} = 5

e^{2 x + 5} = 8

3^{x - 5} = 64 \cdot 4^{x}

2^{x} + 2^{x + 3} = 36

2^{x^{2}} \times 4^{x} \times 2 = 4

What is the answer to x^{2+log_{10}(10x)}=10000 ?
The answer to x^{2+log_{10}(10x)}=10000 is x=10,x= 1/10000
Solve for x: x^{2+log_{10}(10x)}=10000
The solution is x=10,x= 1/10000