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Write the expression as the logarithm of a single number or expression with a coefficient of 1. Assume all variables represent positive numbers.3 ln (x + 6) – 2 ln (x2 + 7)

Solve the problem.Let t0 be a specific value of t. Find t0 such that the following statement is true:P(t ≥ t0) = .1 where df = 20.

Solve the problem.How much money does the average professional football fan spend on food at a single football game? That question was posed to 60 randomly selected football fans. The sampled results show that the sample mean was $70.00 and prior sampling indicated that the population standard deviation was $17.50. Use this information to create a 95 percent confidence interval for the population mean.

Solve the problem.You have a $4,041 credit card debt, and you plan to pay it off through monthly payments of If you are being charged 16% interest per year, how long (to the nearest tenth of a year) will it take you to repay your debt?

Solve the exponential equation.3(10 – 2x) = 9

Solve the problem.A random sample of n measurements was selected from a population with unknown mean μ and known standard deviation σ. Calculate a 95% confidence interval for μ for the given situation. Round to the nearest hundredth when necessary. n = 125, = 25, σ = 20

Graph the function.y = log4 x + 4

Solve the problem.In order to purchase a home, a family borrows at an annual interest rate of 11%, to be paid back over a period in equal monthly payments. What is their monthly payment?

Convert to exponential form.log3 = -3

Solve the problem.In the Smoky Mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by where P is the percent of snow moisture at an altitude h feet. What altitude corresponds to 7 percent snow moisture? Round to the nearest hundred feet.