What is the answer to 100^{log_{10}(x)}=2x^3 ?

The answer to 100^{log_{10}(x)}=2x^3 is x= 1/2

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100^{log_{10}(x)}=2x^3

10 0^{l o g_{10} (x)} = 2 x^{3}

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

10 0^{l o g_{10} (x)} = 2 x^{3}

Apply log rules

x = \frac{1}{2}

Verify Solutions:

x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

ln (x) + ln (2 x - 11) = ln (21)

lo g_{16} (x) = lo g_{2} (x)

ln (c x^{9}) = 9 ln (c) + 9 ln (x)

5.033 = 4.874 + lo g_{10} (x)

lo g_{10} (5 x^{2} + 13 x - 5) = 0

What is the answer to 100^{log_{10}(x)}=2x^3 ?
The answer to 100^{log_{10}(x)}=2x^3 is x= 1/2
Solve for x: 100^{log_{10}(x)}=2x^3
The solution is x= 1/2