Question

Calcule X nas igualdades:
a) ㏒ ₂ₓ = 5
b) ㏒ (x+1) = 2
c) ㏒ ₓ8 = 3

Answer 1

$a) \\ \log_2x=5 \\ \\ x=2^5 \\ \\ x=32 \\ ------------ \\ b) \\ log(x+1)=2 \\ \\ x+1=10^2 \\ x+1=100 \\ x=100-1 \\ x=99 \\ --------- \\ c) \\ \log_x8=3 \\ \\ x^3=8 \\ x= \sqrt[3]{8} \\ x= \sqrt[3]{2^3} \\ \\ x=2$