Question 595195
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