Use Properties of Exponents and Properties of Logarithms to simplify and the following expression and determine the exact value. Your final value should be in the simplest/reduced form. The final solution is: a = a.b c.d (71+ln(√7)) ² (7³) ¹ log ve 1+ln 7 e where a ≤ b and c≤d. b = (1+2 ln 7)² · In(√e) e and d = C =

Let n = log p, and m = log q. If possible, rewrite the following expressions in terms ofn and m and simplify. (a) log(pg) (b) log P (c) log(0.0001g) (d) log

The decibel level for the intensity of a sound is a logarithmic scale defined by D = 10 log10 (I) + 120, where I is the intensity of the sound in watts per square meter. Express I as a function of D. (Express numbers in exact form. Use symbolic notation and fractions where needed.) I(D) = When D increases by 21, the intensity increases by what factor? (Use decimal notation. Give your answer to one decimal place.) intensity increases by: