Question

i) If 5^(2x)=125 and (10)^(y)=0.0001 then find the value of 2x+3y
please help​

Answer 1

Step-by-step explanation:

${5}^{2x} = 125 \\ {5}^{2x} = {5}^{3} \\ 2x = 3 \\ x = 1.5$

${10}^{y} = {10}^{ - 4} \\ y = - 4$

so,

$2x + 3y = 2 \times 1.5 + 3 \times ( - 4) \\ = 3 - 12 \\ = - 9$

Answer 2

1. 5^(2x) = 5^3
2x = 3
x = 3/2

2. 10^y = 10^(-4)
y = -4

Putting the values in 2x+3y

2(3/2) + 3(-4)=
= 3 -12 = -9

Therefore,
Your answer is -9.