Question

HELP. It’s LOG form. Since were out of school I forgot how I did this and it’s due so it would be a life saver.

Answer 1

see below

Explanation:

exponent to log:
`a^b` = c ---> logₐc = b

ie. question 6

log ₁₀(3x+1) = 2 ----->
`10^(2) = 3x+1`

that will get you through questions 1 to 3, 5 to 6, and 8

in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3

for questions 7 and 9,

remember that:

logₐc + logₐd = logₐ(cd)

logₐc - logₐd = logₐ(
`(c)/(d)`)

remember change of base is
`log_(a) b = (log_xb)/(log_xa)`, this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e