Answer: Thomas is 33 years old
Step-by-step explanation:
59-7=52
52÷2=26
26+7=33
So therefore Thomas is 33 years old
Answer:
x ≈ -4.419
Step-by-step explanation:
Separate the constants from the exponentials and write the two exponentials as one. (This puts x in one place.) Then use logarithms.
0 = 2^(x-1) -3^(x+1)
3^(x+1) = 2^(x-1) . . . . . add 3^(x+1)
3×3^x = (1/2)2^x . . . . .factor out the constants
(3/2)^x = (1/2)/3 . . . . . divide by 3×2^x
Take the log:
x·log(3/2) = log(1/6)
x = log(1/6)/log(3/2) . . . . . divide by the coefficient of x
x ≈ -4.419
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A graphing calculator is another tool that can be used to solve this. I find it the quickest and easiest.
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<em>Comment on alternate solution</em>
Once you get the exponential terms on opposite sides of the equal sign, you can take logs at that point, if you like. Then solve the resulting linear equation for x.
(x+1)log(3) = (x-1)log(2)
x=(log(2)+log(3))/(log(2)-log(3))
Answer:
subtract 2.4 from both sides, simplify to -3x=16.8, divide by -3, simplify to x=-5.6.
Step-by-step explanation:
-3x + 2.4 = 19.2
v <u>-2.4</u> <u>-2.4</u>
v 0 16.8
<u>-3x</u>=<u>16.8</u>
-3 -3
x=-5.6
hope this helps,
<h3>Noelle</h3>
It becomes a vertical line, because it is sideways, and if it is rotated 90 degrees, then it becomes vertical
hope this helps, and sorry if im wrong