Expanding logarithmic expression in exercise, use the properties of logarithms to rewrite the expression as a sum, difference, or multipal of logarithms. see example 3.
in (2x + 7)^1/3

Step-by-step explanation:

this is the most simplified form of the expression.

Only one property is being used here, also ln(2x+7) cannot be further simplified using any logarithmic properties

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47