Select the correct answer. What is the value of x in 2(5^x) = 14?

A.
0.34

B.
1.15

C.
1.21

D.
219.33

C

Step-by-step explanation:

Using the rule of logarithms

ln ⇔ nlnx

Given

2( ) = 14 ( divide both sides by 2 )

= 7 ( take ln of both sides )

xln5 = ln7 ( divide both sides by ln5 )

x = ≈ 1.21 ( to 2 dec. places ) → C

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w