# algebra 2

posted by .

SOLVE= log[6](x+3)+log[6](x+2)<2

A)-6<x<7
B)-6<x<2
C)3<x<7
D)-2<x<3

• algebra 2 -

log[6](x+3)+log[6](x+2)<2
log[6]((x+3)(x+2))<2
(x+3)(x+2) < 36
x^2 + 5x + 6 < 36
x^2 + 5x - 30 < 0

1/2 (-5-√145) < x < 1/2 (-5+√145)

Hmm. There appears to be a typo. However,

(x-3)(x+2) < 36
x^2 - x - 6 < 36
x^2 - x - 42 = 0
(x-7)(x+6) < 0
-6 < x < 7

## Similar Questions

1. ### TRig WIth LoGs help1!!

i have problem i can't solve and the book is no help.. anyone got osme hints or somehting i could start off doing?
2. ### math

write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A - log B 3 log A^n = n log A use these …
3. ### Algebra 2

how do not understand how to do this Log X + Lob (X-3) = 1 I know I do this Log X(X-3)=1 then I do this Log X^(2) - 3X = 1 then I do this 2 Log (X-3X) = 1 then 2 Log (-2X) = 1 then (2 Log (-2X) = 1)(1/2) Log (-2X) = 1/2 then (Log (-2X) …
4. ### Mathematics

Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct?

Which of the following expressions is equal to log (x sqrt-y)/z^5 A. log x + log (1/2) + log y– log 5 – log z B. log [x + (1/2)y – 5z] C. log x + (1/2)log y – 5 log z d. [(1/2) log x log y]/(5 log z)

1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!
7. ### math

Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25) …
8. ### college algebra

Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4 - log x^3 4 log (x+3) - 5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please.
9. ### Advanced Functions/ Precalculus Log

1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). …
10. ### Math

h(x) = log (6x+5/7x-4) Find a formula for the inverse function h^-1(x) h^-1(x) = My work so far h(x) = log(6x+5/7x-4) y=log(6x+5/7x-4) x=log(6y+5/7y-4) 7xy-4x= log(6y+5) how would I solve from here. Would I solve for y then do the …

More Similar Questions