Question

1- Considerando log2 = 0,3 log3 = 0,5 e log5 = 0,7 determine o valor de:
A) log25 =
B) log60 =
C) log4,5 =

Answer 1

Bom dia!

A)

$\log25 = \log_{10}25 = \log5^2=2\log5 = 2.0,7=1,4$

B)

$\log 60 = \log(3.2.10)=\log3+\log2+\log10 = 0,5+0,3+1=1,8$

C)

$\log4,5 = \log \left(\dfrac{5.3^2}{10}\right)= \log 5 + 2.\log3-\log 10 = 0,7+0,5.2-1=0,7$