What is 2^{log_{10}(x)}*4^{log_{10}(x)} ?

The solution to 2^{log_{10}(x)}*4^{log_{10}(x)} is 8^{log_{10}(x)}

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simplify 2^{log_{10}(x)}*4^{log_{10}(x)}

simplify

2^{l o g_{10} (x)} \cdot 4^{l o g_{10} (x)}

8^{l o g_{10} (x)}

Solution steps

2^{l o g_{10} (x)} \cdot 4^{l o g_{10} (x)}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

2^{l o g_{10} (x)} \cdot 4^{l o g_{10} (x)} = (2 \cdot 4)^{l o g_{10} (x)}

= (2 \cdot 4)^{l o g_{10} (x)}

Multiply the numbers:

2 \cdot 4 = 8

= 8^{l o g_{10} (x)}

(x + 4) (y - 5)

(- 3)^{2} + (- 4)^{2}

x (x + 1) (x + 5)

(2 x + 3)^{12}

\frac{3}{4} - \frac{4}{3}

What is 2^{log_{10}(x)}*4^{log_{10}(x)} ?
The solution to 2^{log_{10}(x)}*4^{log_{10}(x)} is 8^{log_{10}(x)}