Telescope: discount; 30% sale price, $126

$88.20

Step-by-step explanation:

The sale price of the telescope = $126.00

Discount on the sale price  = 30%

The price after discount = 126 - (30% of 126)

                                         = 126 - ()

                                         = 126 - (0.30 × 126)

                                         = 126 - 37.80

                                         = $88.20

The discounted price of the telescope would be $88.20.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752