How do i solve for x by using natural log (in)?

Mathematics

1 answer:

Helga [31]3 years ago

7 0

Unfortunately you cannot use logs to solve this.

However, it shouldn't take too long to use guess-and-check to see that

$2^x+3^x = 2^2+3^2 = 4+9 = 13$

Showing that x = 2 is the solution to the equation.

You can use a graphing calculator to graph out $y = 2^x+3^x$ and $y = 13$ . The two curves cross at (2,13). The x coordinate of that intersection is what we're after. GeoGebra and Desmos are two free options you can pick from in terms of a graphing calculator.

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5/8(x-1/3)=5/12 can someone help me figure out what x is?

eimsori [14]

Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer: x = 1

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3 years ago

One angle measure in an acute triangle is 38°. What could the measure of one of the other angles be?

Oksi-84 [34.3K]

If is an acute triangle, all the angles should be acute angles.
180-38=142°
142-69=73°
So your answer is 69°, lovely~

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4 years ago

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