Math  /  Algebra

Question8. Simplify/solve the logarithm (a). log(1/4)32\log _{(1 / 4)} 32 (b). logx3logx+2=0\log x-3 \sqrt{\log x}+2=0 (c). 8x+11=162x8^{-x+11}=16^{2 x} (d). Write as sum and difference of logarithm ln[x2x2(x+4)2]1/3\ln \left[\frac{x^{2}-x-2}{(x+4)^{2}}\right]^{1 / 3} for x>2x>2 (e). Write as single logarithm3log5(3x+1)2log5(2x1)log5x\operatorname{logarithm} 3 \log _{5}(3 x+1)-2 \log _{5}(2 x-1)-\log _{5} x

Studdy Solution
(a) 52-\frac{5}{2} (b) x=10x = 10 and x=10000x = 10000 (c) x=3x = 3 (d) 13ln(x2)+13ln(x+1)23ln(x+4)\frac{1}{3}\ln(x-2) + \frac{1}{3}\ln(x+1) - \frac{2}{3}\ln(x+4) (e) log5(3x+1)3x(2x1)2\log _{5} \frac{(3 x+1)^3}{x(2 x-1)^2}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord