Question

Express the equation in exponential form.

(a)
In(x + 5) = 9
(b)
In(x - 7) = 9

Answer 1

To express the equations in exponential form, use the property of logarithms. For equation (a), it becomes x = e^9 - 5. For equation (b), it becomes x = e^9 + 7.

Step-by-step explanation:

To express the equation in exponential form, we need to isolate the exponentiated quantity on one side of the equation. For equation (a), we have:

ln(x + 5) = 9

To rewrite this in exponential form, we can use the property of logarithms which states that if ln(x) = y, then ey = x. Applying this property to equation (a), we get:

e9 = x + 5

So the exponential form of equation (a) is x = e9 - 5.

For equation (b), the process is the same:

ln(x - 7) = 9

e9 = x - 7

The exponential form of equation (b) is x = e9 + 7.

Learn more about Expressing equations in exponential form