Question

log 100.000 na base 0,01

Answer 1

100.000 = 10^5

0,01 = 10^-2

log 100.000 na base 0,01 =

log10^5 na base 10^-2

(10^-2)^x = 10^5

10^-2x = 10^5

-2x =5 (-1)

2x = -5

x= -5/2

Answer 2

$0.01^{x} = 100000$

$\frac{1}{100} ^{x} = 10^{5}$

$(\frac{1}{10^{2} } )^x = 10^5$

$10^{-2x} = 10^{5}$

$-2x = 5$

$x = -\frac{5}{2}$