What is log_{0.4}(4)+2log_{0.4}(5) ?

The solution to log_{0.4}(4)+2log_{0.4}(5) is 2log_{0.4}(10)

Popular >

simplify log_{0.4}(4)+2log_{0.4}(5)

simplify

lo g_{0.4} (4) + 2 lo g_{0.4} (5)

2 lo g_{0.4} (10)

Decimal Notation

- 5.02588 \dots

Solution steps

lo g_{0.4} (4) + 2 lo g_{0.4} (5)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{0.4} (5) = lo g_{0.4} (5^{2})

= lo g_{0.4} (4) + lo g_{0.4} (5^{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{0.4} (4) + lo g_{0.4} (5^{2}) = lo g_{0.4} (5^{2} \cdot 4)

= lo g_{0.4} (5^{2} \cdot 4)

4 \cdot 5^{2} = 100

= lo g_{0.4} (100)

Rewrite

100

in power-base form:

100 = 1 0^{2}

= lo g_{0.4} (1 0^{2})

Apply log rule:

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

lo g_{0.4} (1 0^{2}) = 2 lo g_{0.4} (10)

= 2 lo g_{0.4} (10)

lo g_{b} (\frac{b y ^{5}}{m ^{2} n ^{4}})

\frac{1}{5} lo g_{4} (w) + 4 lo g_{4} (z) - lo g_{4} (y)

ln (x^{7} 5 - x)

800 ln (10) - 480 ln (6) - 320

\frac{1}{2} lo g_{2} (3) - 2 lo g_{2} (5)

What is log_{0.4}(4)+2log_{0.4}(5) ?
The solution to log_{0.4}(4)+2log_{0.4}(5) is 2log_{0.4}(10)