SOLUTION: A. Use calculator to find log 35 rounded to two decimal places. B. Use calculator to find log₁₁34 rounded to two decimal places. (Round at the end of calculations)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A. Use calculator to find log 35 rounded to two decimal places. B. Use calculator to find log₁₁34 rounded to two decimal places. (Round at the end of calculations)       Log On


   

Question 189569: A. Use calculator to find log 35 rounded to two decimal places.
B. Use calculator to find log₁₁34 rounded to two decimal places. (Round at the end of calculations)
C. Solve for x: log(x+1) = 2
D. Use properties of logarithms to write 3In x - In (x+3) as a single logarithm.
E. Use properties of logarithms to write 1/2log x + 3log √x - 2log(x+1) as a single logarithm.
Answer by nerdybill(7384) About Me  (Show Source):
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A. Use calculator to find log 35 rounded to two decimal places.
log(35) = 1.54
.
B. Use calculator to find log₁₁34 rounded to two decimal places. (Round at the end of calculations)
log₁₁34 = log(34)/log(11) = 1.5315/1.0414 = 1.47
.
C. Solve for x: log(x+1) = 2
log(x+1) = 2
x+1 = 10^2
x+1 = 100
x = 99
.
D. Use properties of logarithms to write 3In x - In (x+3) as a single logarithm.
3Ln x - Ln (x+3)
Ln x^3 - Ln (x+3)
Ln (x^3/(x+3))
.
E. Use properties of logarithms to write 1/2log x + 3log √x - 2log(x+1) as a single logarithm.
1/2log x + 3log √x - 2log(x+1)
log x^(1/2) + log √x^3 - log(x+1)^2
log √x + log x√x - log(x+1)^2
log √x(x√x) - log(x+1)^2
log x^2 - log(x+1)^2
log (x^2/(x+1)^2)