Given: f(x) = 60(1.5)^x and
g(x) = 150(0.80)^x.

Use the table feature of your graphing calculator to find the value of x when f(x) = g(x). Find x to the nearest tenth.

  x = 1.5

Step-by-step explanation:

In order to determine when f(x) and g(x) are closest in value, it is convenient to look at their difference: f(x) -g(x). The table attached shows that has the smallest magnitude for x = 1.5 (when x is given to tenths).

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I find that graphing the curves gives a good clue as to the values that should be used in the table.

1.5

Step-by-step explanation:

60(1.5^x) = 150(0.8^x)

(1.5^x)/(0.8^x) = 150/60

(1.5/0.8)^x = 2.5

1.875^x = 2.5

x lg[1.875] = lg[2.5]

x = 1.457648917

x = 1.5

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

no this is a nonlinear negative