What is the solution of log(t-3) = log(17-4t)?

t = 4

Step-by-step explanation:

Using the rule of logarithms

log x = log y ⇒ x = y

Given

log(t - 3) = log(17 - 4t), then

t - 3 = 17 - 4t ( add 4t to both sides )

5t -3 = 17 ( add 3 to both sides )

5t = 20 ( divide both sides by 5 )

t = 4

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form