Question

calcule os logaritmos em cada caso:
a) log$\pi$π
b) log$\sqrt[3]{5}$$5^{6}$
c) log$10$ 100
d) log0,4 ($\frac{25}{4}$)
e) log5 $3^{0}$
f) log0,01 $\sqrt{1.000}$

Answer 1

a) logπ = log π + log π

b) log ∛5Â.5^6 ==> (5Â)^1/3.5^6 ==> 1log5Â + 6log5 
                                                                3

c) log 100 = log10² ==> 2log10 ==> 2.1 ==> 2

d) log0,4 = log4/10 ==> log2² - log10 ==> 2log2 - 1

e) log5 = log10/2 ==> log10 - log2 ==> 1 - log2

f) log0,01 = log 1/100 ==> log 1 - log 100 ==>  0 - log 10²

==> 0 - 2log10 ==> 0 - 2.1 ==> 0 - 2 ==> - 2