I need help!! Use the properties of logarithms to simplify.

log base5 5^(2x − 9) + log base3 729^5

1/2log base 3 of x + log base 3 of x =6

As the multiplication law of logarithms states that when it's addition you multiply and vice versa:log base c of xy=log base c of x + log base c of y

log base 3 of ( x1/2×x)=6

36=729

x1/2×x=729 since it's multiplication you add the powers so 1/2 +1 =3/2

x3/2=729

So square 729. 7292=531441. Now take a cube root. Cube root of 531441 is 81

X=81

answer: 2 and 1

step-by-step explanation: got this question

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet