Question

loga16=4

Answer 1

Log_a(16)=4 is saying that A raised to the 4th power is 16. So, A^4=16, or a=2

Answer 2

and how is it two

Answer 3

any logarithmic equation can be written in exponential form:
\(\large log_aM=n \) means \(\large a^n=M \)

Answer 4

okay i get that but so this is the answer a^4=16 ?

Answer 5

@dpaInc

Answer 6

no... the question is to find "a" so...
\(\large a^4=16 \)
\(\large [a^4]^{\frac{1}{4}}=[16]^{\frac{1}{4}} \)
\(\large a^{\frac{4}{4}}=16^{\frac{1}{4}} \)
\(\large a=\sqrt[4]{2\cdot 2\cdot 2\cdot 2}=2 \)