1 Use the OnetoOne property to solve the equation for x e3x5

1) .Use the One-to-One property to solve the equation for x. e^3x+5 = 36

(2).Solve the logarithmic equation algebraically. Approximate the result to three decimal places.

log₃(6x-8) = log₃(5x + 10)

(3). Use the properties of logarithms to simplify the expression.

log₂₀ 20⁹

(4). Use the One-to-One property to solve the equation for x.

e^3x+5 = 3⁶

1. e^(3x +5) = 36

Now as per property : log_a(a^x) = x

loge(e^(3x+5) = loge(36)

we can equate the argument insied the log:

(3x +5) = loge(36)

x = (loge(36) -5) )/3

2. log₃(6x-8) = log₃(5x + 10)

we cam equate the arguments inside the log

(6x-9) = 5x +10

x = 9+10 =19