SOLUTION: Hi,can you please explain in detail and help solve these? X:9^x=3 x:2^9x-4=32 4 ___ Express as a product: log 3 /x Thank you so much! Jacke

Algebra.Com
Question 38970: Hi,can you please explain in detail and help solve these?
X:9^x=3
x:2^9x-4=32
4 ___
Express as a product: log 3 /x
Thank you so much!
Jackee

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
X:9^x=3
3^(2x)=3
2x=1
x=1/2
x:2^9x-4=324 ___
2^(9x)=328
9xlog2= log138
9x=[log138]/[log2]
9x=7.1085...
x=0.78983...
Express as a product: log 3 /x
=log(3x^-1)
or log3 - logx
Cheers,
Stan H.

RELATED QUESTIONS

Okay, I am so lost. Please help me with these? Write as the sum or difference of a... (answered by Nate)
express as a single logarithm log(x^2+2x-3/x^2-4)-log(x^2+7x+6/x+2) Thank you so... (answered by arunpaul)
Solve a) log( base 4) (x+3) + log( base 4) (x-3) = 2 Can you please help me out?... (answered by lwsshak3)
Can you help me I cannot get this and I am afraid to ask the teacher again. I need to... (answered by elima)
Can you please help me with these exponential/logarithmic equations? a) solve 2^x=14 b) (answered by stanbon)
Hi please help me with these three problems. I sure would appreciate your help.... (answered by stanbon,Nate)
1) Solve for x: 2-x = 1 / 32 2) Solve for x: 34x + 5 = 9 (answered by stanbon)
Can you please help me solve and simplify?... (answered by nerdybill)
Please help explain and Solve?: 2 4 - (x+6)> - (x-8) 3 5 Express... (answered by mukhopadhyay)