Question

What is the value of x if e³x+6= 8?

In 8-6
3
O x=
O X=
O x=
O x=
In 6-8
3
In 8+6
3
In 6+8
3

Answer 1

(a) x = (ln(8) -6)/3

Explanation:

You want the solution to the equation e^(3x +6) = 8.

Solution

Taking logarithms of both sides, we get the 2-step linear equation ...

3x +6 = ln(8)

3x = ln(8) -6 . . . . . . . subtract 6

x = (ln(8) -6)/3 . . . . . divide by 3

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Additional comment

It is essential to write the exponent with parentheses when the grouping of parts of the equation is not represented by the typography (superscript).

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