SOLUTION: Solve the equation 49^(3x+1)=7^(2x-5) Solve the equation log8(3x-1)=log8(x+4) Solve the equation log6(x)=(1/4)log6(16)+(1/3)log6(64) Find the antilogarithm of 1.5 Solve the eq

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equation 49^(3x+1)=7^(2x-5) Solve the equation log8(3x-1)=log8(x+4) Solve the equation log6(x)=(1/4)log6(16)+(1/3)log6(64) Find the antilogarithm of 1.5 Solve the eq      Log On


   

Question 611503: Solve the equation 49^(3x+1)=7^(2x-5)
Solve the equation log8(3x-1)=log8(x+4)
Solve the equation log6(x)=(1/4)log6(16)+(1/3)log6(64)
Find the antilogarithm of 1.5
Solve the equation ln(x)=5
Solve the equation 2^(2x+3)=3^(3x)
Answer by lwsshak3(11628) About Me  (Show Source):
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Solve the equation
49^(3x+1)=7^(2x-5)
7^2(3x+1)=7^(x-5)
7^(6x+2)=7^(x-5)
6x+2=x-5
5x=-7
x=-7/5
..
Solve the equation log8(3x-1)=log8(x+4)
3x-1=x+4
2x=5
x=5/2
..
Solve the equation
log6(x)=(1/4)log6(16)+(1/3)log6(64)
=log6(16)^(1/4)+log6(64)^1/3)
log6(x)=log6(2)+log6(4)
log6(x)-log6(2)-log6(4)=0
log6(x)-(log6(2)+log6(4))=0
place under single log
log6[x/2*4]=0
convert to exponential form
6^0=x/8=1
x=8
..
Find the
antilogarithm of 1.5=10^1.5≈31.62
..
Solve the equation
ln(x)=5
x=e^5≈148.41
..
Solve the equation
2^(2x+3)=3^(3x)
(2x+3)log2=(3x)log3
(2x+3)/3x=log3/log2≈1.585
2x+3=3x(1.585)=4.755x
2.755x=3
x=3/2.755≈1.089