Mathematics: Solve for equation x. 3in(x)+2in(4)=in(128)

Solve for equation x. 3in(x)+2in(4)=in(128) - id324128311129, katiegardner7097

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arod5702

10.03.2022

$Domain:\ x 0\\\\3\ln(x)+2\ln(4)=\ln(128)\qquad\text{use}\ \lag_ab^n=n\log_ab\\\\\ln(x^3)+\ln(4^2)=\ln(128)\qquad\text{use}\ \log_ab+\ln_ac=\ln_a(bc)\\\\\ln(16x^3)=\ln(128)\iff16x^3=128\qquad\text{divide both sides by 16}\\\\x^3=8\to x=\sqrt[3]8\\\\\boxed{x=2}\in D$

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Ответ:

tati7149

01.02.2021

Mathematics

9514 1404 393

obtuse

Step-by-step explanation:

If the triangle were a right triangle, the longest side would be found using the Pythagorean theorem:

a² + b² = c²

4.5² + 6² = c² = 20.25 +36 = 56.25

c = √56.25 = 7.5

At 8.5 cm, the longest side is longer than that necessary to make a right triangle, so the largest angle is greater than 90°.

Stephanie's triangle is an obtuse triangle.

Various pieces of string are cut at different lengths. Stephanie selects three pieces that measure 4

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Solve for equation x. 3in(x)+2in(4)=in(128)

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