Condense the following

Question

ln 3 square root e^2x

Comments

Where is the work.

Answer 1

ln₃(√(e^2x))

= ln₃(e^2x)^½

Apply formula: (a^m)ⁿ = a^mn.

= ln₃(e^2x/2)

= ln₃(e^x)

Apply formula: ln_a(b) = (lnb)/(lna).

= (lne^x) / (ln3)

Apply formula: ln(b^a) = a lnb.

= (x lne) / (ln3)

Substitute: ln(e) = 1.

= x / ln3

Solution : ln₃(√(e^2x))  = x / ln3.