# How do you solve #7^(x – 2) = 12x#?

A step in the correct direction!! Perhaps someone else can take it further. I used the Iteration method.

Plot the straight line graph of

Plot the curve of

The intersections are where the values for

Or try iteration for

so

Taking logs

By iteration

Set seed value as 1

I could not find the seed for the lower one which is in the region of

Graphs of the log method:

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To solve (7^{x - 2} = 12x), you would typically use numerical or graphical methods, as there is no algebraic way to solve it directly. One common approach is to use numerical methods such as iteration or approximation techniques. Alternatively, you can graph both sides of the equation and find the intersection point(s) to approximate the solution(s).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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