What is log_{1/3}(1/15) ?

The solution to log_{1/3}(1/15) is log_{3}(15)

Popular >

simplify log_{1/3}(1/15)

simplify

lo g_{\frac{1}{3}} (\frac{1}{15})

lo g_{3} (15)

Decimal Notation

2.46497 \dots

Solution steps

lo g_{\frac{1}{3}} (\frac{1}{15})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{\frac{1}{3}} (\frac{1}{15}) = lo g_{\frac{1}{3}} (1) - lo g_{\frac{1}{3}} (15)

= lo g_{\frac{1}{3}} (1) - lo g_{\frac{1}{3}} (15)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{\frac{1}{3}} (15)

0 - lo g_{\frac{1}{3}} (15) = - lo g_{\frac{1}{3}} (15)

= - lo g_{\frac{1}{3}} (15)

Apply log rule:

lo g_{\frac{1}{a}} (x) = - lo g_{a} (x)

= - (- lo g_{3} (15))

Apply rule

- (- a) = a

= lo g_{3} (15)

lo g_{b} (6 x) + 5 lo g_{b} (x) - 4 lo g_{b} (y)

ln (\frac{( λ ^{(x_{1})} e ^{(- λ)} )}{( x _{1} ! )})

0.026 ln (5 \cdot 1 0^{8})

lo g_{a} (a^{2} b c^{3})

lo g_{10} (2 x - 4) - 0.5 lo g_{10} (x)