SOLUTION: log7 (x+3)- log7 (x-3)=1
log3 (y-8)+ log3 (y=4)= log3 13
log2 84
I need to solve these problems but have no clue how to.
Algebra.Com
Question 197197: log7 (x+3)- log7 (x-3)=1
log3 (y-8)+ log3 (y=4)= log3 13
log2 84
I need to solve these problems but have no clue how to.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You should review the four Laws of Logarithms.
Product, Quotient, Power, Change of Base
-----------------------------------------------
log7 (x+3)- log7 (x-3)=1
log7[(x+3)/(x-3)] = 1
[x+3]/[x-3] = 7
x+3 = 7x-21
6x = 24
x = 4
-----------------------------------------------
log3 (y-8)+ log3 (y=4)= log3 13
log3[(y-8)(y+4)] = log3[13]
y^2-4y-32 = 13
y^2 -4y -45 = 0
etc.
-----------------------------------------------
log2 84 = [log[84]/[log[2]] = 6.3923...
Cheers,
Stan H.
===============================================
RELATED QUESTIONS
My teacher wants the to solve the set of problems, but her being in Florida on vacation... (answered by Nate)
Evaluate log2(3) x log3(4) x log4(5) x log5(6) x log6(7) x log7(8) (answered by ankor@dixie-net.com)
x=log196 y=log225 z=log256
Express the following in terms of x, y, and/or z
1.... (answered by Alan3354)
Log3(x+1)-log3(x)+log3(3)
(answered by Alan3354)
solve for x:
log3^4-log3^x=2
no... (answered by stanbon,josmiceli,bimanewton)
how to write this as single logarithm.
1.log7 + log3 = x
2.log9 + log8 -... (answered by lwsshak3)
1: 2 log7(x+1)=2
2: log3(2x+1)+... (answered by ewatrrr)
How would you solve:... (answered by Fombitz)
Solve for x.
log3 (x+6) −log3 (x−2) =2
I have the answer x=3, but I... (answered by rothauserc)