How do you graph f(x)= log_(5)(x)f(x)=log5(x)?

1 Answer

solve for intercepts if any and additional points near the intercepts and know the asymptote

Explanation:

the given y=log_5 x" " "y=log5x this is the logarithmic form
5^y=x" " "5y=x the exponential form

When x=1, y=0, so we have a point (1,0)(1,0)

When y approaches a very negative number, x approaches zero.

Therefore, x=0x=0 is a vertical asymptote

see the graph of y=log_5 xy=log5x

graph{y=log x/log 5[-20,20,-10,10]}

God bless....I hope the explanation is useful