Logbase2(x) = 2logbase2 3 + logbase2 5
log x / log 2 = 2 log 3 / log 2 + log 5 / log 2
Multiply both sides by log 2
log x = 2 log 3 + log 5
log x = log 3^2 + log 5
log x = log 9 + log 5
log x = log 45
x=45
log x / log 2 = 2 log 3 / log 2 + log 5 / log 2
Multiply both sides by log 2
log x = 2 log 3 + log 5
log x = log 3^2 + log 5
log x = log 9 + log 5
log x = log 45
x=45
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Useful properties of logs:
log(a^b) = b log(a)
log(ab) = log(a) + log(b)
log_2(x) = log_2(9*5) = log_2(45)
x = 45
log(a^b) = b log(a)
log(ab) = log(a) + log(b)
log_2(x) = log_2(9*5) = log_2(45)
x = 45
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Logbase2(x) =logbase2 9 + logbase2 5
=logbase2 45
x=45
=logbase2 45
x=45
-
x=45
-
base in all of them is equal
log x=log 3^2+log 5
log x=log9*5
x=45
log x=log 3^2+log 5
log x=log9*5
x=45