What is 4log_{10}(3)-1log_{10}(x) ?

The solution to 4log_{10}(3)-1log_{10}(x) is log_{10}((81)/x)

Popular >

simplify 4log_{10}(3)-1log_{10}(x)

simplify

4 lo g_{10} (3) - 1 lo g_{10} (x)

lo g_{10} (\frac{81}{x})

Solution steps

4 lo g_{10} (3) - 1 \cdot lo g_{10} (x)

Apply rule:

1 \cdot a = a

1 \cdot lo g_{10} (x) = lo g_{10} (x)

= 4 lo g_{10} (3) - lo g_{10} (x)

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

4 lo g_{10} (3) = lo g_{10} (3^{4})

= lo g_{10} (3^{4}) - lo g_{10} (x)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{10} (3^{4}) - lo g_{10} (x) = lo g_{10} (\frac{3 ^{4}}{x})

= lo g_{10} (\frac{3 ^{4}}{x})

Simplify

\frac{3 ^{4}}{x} : \frac{81}{x}

= lo g_{10} (\frac{81}{x})

\frac{1}{2} ln (x) - 5 ln (y) + 4 ln (z)

2 ln (a) - ln (3 b) + 2 ln (2)

lo g_{10} (3 x) - 1

lo g_{b} (19 x^{5} y)

What is 4log_{10}(3)-1log_{10}(x) ?
The solution to 4log_{10}(3)-1log_{10}(x) is log_{10}((81)/x)