SOLUTION: Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm and then round to three decimal places. y=101(4.8)x Part 1 Express the answer in te

Question 1197628: Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm and then round to three decimal places.
y=101(4.8)x
Part 1
Express the answer in terms of a natural logarithm.
y=_________
Part 2:
Simplify the answer, rounding to three decimal places.
y=________
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Part 1
Express the answer in terms of a natural logarithm.
Exponential expressions with natural base e are of the form . The value of 'a' is already set to be 3.4 since this is the coefficient of the given equation. We just need to find k

So set equal to and solve for k

The two sides have the same exponent of x. So the two bases are 4.8 and must be equal.
Convert to logarithmic form

Part 2:
Simplify the answer, rounding to three decimal places.
..............

RELATED QUESTIONS
could you use the change of base formula to express a logarithm in terms of natural... (answered by robertb)

Solve the equation by isolating the natural logarithm and exponentiating both sides.... (answered by Alan3354)

Rewrite the following equation in terms of base e. Round any natural logarithms to three... (answered by jim_thompson5910)

e^5x+4 = 13 Solve the equation. Write the answer in terms of the natural logarithm.... (answered by Alan3354)

Solve the exponential equation. Express the solution in terms of natural logarithms. Then (answered by Tatiana_Stebko)

Solve the exponential equation. Express the solution in terms of natural logarithms. Then (answered by Alan3354,stanbon)

Can you please help me with this problem? Solve the equation by isolating the natural... (answered by stanbon)

Solve the exponential equation. Express the solution set in terms of natural logarithms. (answered by Alan3354,stanbon)

log to the base pi 400 8 ln 4x =72...solve by isloating the natural logarithm and... (answered by )