emilyverschoor7382 emilyverschoor7382
  • 14-01-2020
  • Mathematics
contestada

Evaluating Logarithms In Exercise, evaluate the logarithm without using a calculator.
log2 32

Respuesta :

lisboa lisboa
  • 15-01-2020

Answer:

5

Step-by-step explanation:

[tex]log_2{32}[/tex]

write 32 in exponential form

32 = 2 times 2 times 2 times 2 times 2

32= 2^5

[tex]log_2{32}[/tex]

[tex]log_2{2^5}[/tex]

As per log property move the exponent before log

[tex]log_2{2^5}[/tex]

[tex]5log_2{2}[/tex]

both log base and log term are same , log_a(a)=1

[tex]5log_2{2}[/tex]

[tex]5(1)[/tex]

5

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