Rewrite the logarithmic equation as an exponential equation: log27 3=1/3

Step-by-step explanation:

Given logarithmic equation is

Question says to rewrite the given logarithmic equation as an exponential equation.

so we can apply transformation formula :

Using this formula, given problem can be transformed into exponential equation as:

Hence final answer is

3 = 27^1/3

Step-by-step explanation:

log27 3=1/3

Raise each side to the base of 27

27^log27 3=27^1/3

3 = 27^1/3

e.

step-by-step explanation:

because there are always 10 numbers in a phone number.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.