SOLUTION: Please help me with these problems and please show all work. Thanks in advance and God bless. 1. Solve for x. logbase3 times(x+1)-log base3times(x)=3 2. Solve the equation an

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Question 595195: Please help me with these problems and please show all work. Thanks in advance and God bless.
1. Solve for x. logbase3 times(x+1)-log base3times(x)=3
2. Solve the equation and round to 4decimal place. (1+r)^3=4.2
3. rewrite the expression as a single logarithm. log(b)+3log(c).
4. the following wquation involves more than one exponential expression. Solve the equation 2^4x+2=7
5. Use a calculator and the base-change formula to find the following logarithm. logbase8.8(4.9) Don't round until final answer(4 decimal places)
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
1. Solve for x. logbase3 times(x+1)-log base3times(x)=3
log3(x+1)-log3(x)=3
place under single log
log3[(x+1)/x]=3
convert to exponential form
3^3=(x+1)/x
27=(x+1)/x
27x=x+1
26x=1
x=1/26
..
2. Solve the equation and round to 4decimal place.
(1+r)^3=4.2
take cube root of both sides
1+r=cube root of 4.2
1+r=1.613
r=1.613-1≈.613
..
3. rewrite the expression as a single logarithm.
log(b)+3log(c)
log(b)+log(c^3)
log(bc^3)
4. the following equation involves more than one exponential expression. Solve the equation
2^4x+2=7
2^4x=7-2=5
4xlog2=log5
4x=log(5)/log(2)
using calculator
4x=2.322
x≈.580
5. Use a calculator and the base-change formula to find the following logarithm. logbase8.8(4.9) Don't round until final answer(4 decimal places)
log8.8(4.9)=log(4.9)/log(8.8)≈.7308