Explain to Noah Clue why the following logarithmic properties are true. Be sure to demonstrate with examples and explain it well enough so that Noah could relay the information to Atta Loss with authority.

log (a*b) = log (a) + log (b)
log (a^b) = b * log (a)

Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. surfaces: xsquared2plus+2yplus+2zequals=1212 yequals=33 point: left parenthesis 1 comma 3 comma five halves right parenthesis

What is 20+(5 x 2/5 )+ 3 show your work

At the beginning of year 1, carlos invests $600 at an annual compound interest rate of 4%. he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 5? what is, the balance?