Logarithms Homework

(1) Solve for x:
(a) log₈x = 2
(b) log₄x = -(3/2)
(c) log_x27 = (3/2)
(d) log_x5 = -(1/2)

(2) Expand:
(a) log₂M⁵N⁴
(b) log₂(M⁴/N³)

(3) Given that log₁₀9 = 0.95 and log₁₀2 = 0.30, without using a calculator evaluate:
(a) log₁₀81
(b) log₁₀3
(c) log₁₀(9/2)
(d) log₁₀(1/2000)


scroll way down for the answers ....


don't look until you're tried all the questions ....




























HEY .... no peeking!!!!!! ;-)















Wonder what this picture has to do with logarithms ....




... something ... can you figure out what? ;-)









































ANSWERS
(1) (a) 64 (b) 1/8 (c) 9 (d) 1/25
(2) (a) 5log₂M + 4log₂N (b) you figure it out. ;-)
(3) (a) 1.9 (b) 0.475 (c) 0.65 (d) -3.30