Image below I need help

[tex]Image below I need help[/tex]

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Image below I need help

[tex]Image below I need help[/tex]

[tex]x = - 1.60[/tex]

Step-by-step explanation:

We want to solve

[tex]{4}^{x + 3} = 7[/tex]

using change of base formula.

First we take antilog to get;

[tex]x + 3 = log_{4}(7)[/tex]

The formula is:

[tex]log_{b}(y) = \frac{ log(y) }{ log(b) }[/tex]

We apply apply the change of base formula on the right to get:

[tex]x + 3 = \frac{ log(7) }{ log(4) }[/tex]

[tex]x + 3 = 1.40[/tex]

Subtract 3 from both side to get:

[tex]x = 1.4 - 3 = - 1.6[/tex]

i think it is the the extra amount after the hourly rate

Step-by-step explanation:

i think that is the answer because it is said that X is the hours the doctor worked and 150 will be what she gets each hour. and the answer cannot be the first one because then it will be like saying u have to pay for how many hours i worked and pay a extra for the first 20 mins. Y is the total rate of the entire visit. and the hourly rate is the 150x, so the only option left is the third one.