Question

Use the properties of logarithms to condense the logarithmic expression. Write the expression as a single logaritm whose coefficient is 1. where possible, evaluate logarithmic expressions.

logx+log(x^2-81)-log8-log(x+9) = ?

Answer 1

rewrite the expression

log(x) + log(x^2 -81) - (log(8) + log(x +9)

then using log law for addition

log(x(x^2 -81) -(log(8(x +9))

which can be written as

log(x(x-9)(x+9)) - log(8(x +9)

now use the log law for division

\[\log(\frac{x(x-9)(x+9)}{8(x + 9)})\]

remove the common factor for the answer

Answer 2

log ( x(x-9) / 8) ?

Answer 3

YES..

Answer 4

why thank you

Answer 5

last question ... Evaluate or simplofy the expression without using a calculator

ln e^3x

Answer 6

\[\large \ln(e)^{3x} \implies 3x(\ln(e)) \implies 3x\]

Answer 7

okay thanks a lot guys

Answer 8

Welcome dear..

Answer 9

im cramming so much in for a test