Solve equation:

Question

(log₂(x+1)(log₂8x)=10

Answer 1

logs to the base 2

log(x+1)log(8x) = 10

log(1+x) base 2 = ln(1+x)/ln2

log(8x)base 2 = ln(8x)/ln2

ln(1+x)ln(8x) =10(ln2)(ln2)=about 4.805

graph it

x intercept = about 3.35 = x or maybe closer to 3.32 or 3.33

ln(1+3.35)ln(8(3.35)) = about 4.83 which is close to 4.805