Solve without using a calculator

Question

Solve for x without using a calculator. 10^(4x + 2) = 0,0001

Answer 1

??????????

yu spekt me tu du logs without kalkulater??????????

no wae hoze

me assume that stuf shood be 10^(4x+2)=0.0001...=10e-4

take log10 av both sides...(4x+2)=log10(10e-4)=-4

so 4x+2=-4, 4x=-6,  x=-6/4...-3/2...-1.5

Answer 2

The right-hand side is the same as 1/10000=10^-4.

Therefore 10^(4x+2)=10^-4 and the exponents are equal: 4x+2=-4, so 4x=-6 and x=-3/2 or -1.5.