Question

2ⁿ=7 find the value of n

Answer 1

2^n = 7
n = log 7 base 2.

Answer 2

ln(2^n)=ln(7)

nln(2)=ln(7)=nln(7)/ln(2)

divide both sides by ln(2): nln(2)/ln(2)=ln(7)/ln(2)

simplify: n=ln(7)/ln(2)

n=ln(7)/ln(2)