Log(base)4(3x-7)=log(base)4(x-15) could somebody me out with this question? i don't even know where to begin.

The bases of the logarithms on either side of the equation are the same, which means that their arguments must be the same:

Put another way, we can write both sides as powers of 4, then simplify and eliminate the logarithms:

Then solve for :

Then we just have to check if this solution is valid. On the left side, we have

but we can't take logarithms of negative numbers, so there is no solution, as long as we're using the real-valued logarithm, anyway; is a solution if we use the complex-valued version.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2