Question

log5 4+log5 (2x)=log5 24

Answer 1

familiar with the log properties ?

Answer 2

nope

Answer 3

have a look!quotient rule\[\large\rm log_b y - \log_b x = \log_b \frac{ x }{ y}\]
to condense you can change subtraction to division
product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\]
addition ----> multiplication

power rule \[\large\rm log_b x^y = y \log_b x\]

Answer 4

but whats the answer!!

Answer 5

what property you should apply first ?

Answer 6

\[\log_5 {4} + \log_5 {2x} = \log_5 {24}\]\[\log_5 {8x} = \log_5 {24}\rightarrow 8x=24 \rightarrow x=3\]

Answer 7

Remember that \[x>0 \rightarrow x=3 \quad is \quad the \quad solution\]