Rewrite the following in the form log (c). 4 log(5)

Step-by-step explanation:4log(5) = log(5^4) = log(625).

This problem involves using one of the properties of logs, where a coefficient (in this case the "4") for a logarithm equals the "inside of a logarithm" raised to power of whatever number the coefficient is.

The property in mathematical terms is:    Alog(B) = log(B^A).

So, 4log(5)= log(5^4) = log(625)

step-by-step explanation:

where is the questions

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4