Mathematics, 27.06.2021 20:30 ben5445

Solve the inequality for x
3^(6x+18)<27^(3x)

Answers: 1

Show answers

Answers

Answer from: lorenzo1beaton

$\displaystyle x 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsFactoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$ Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$ Set: $\displaystyle 6x + 18 < 3(3x)$ Factor: $\displaystyle 3(2x + 6) < 3(3x)$ [Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$ [Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$ [Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$ [Division Property of Equality] Divide -1 on both sides: $\displaystyle x 6$

Answer from: randallmatthew5665

Step-by-step explanation:

When given the following equation;

3^(^6^x^+^1^8)

One is asked to solve for (). The inequality has exponents, hence, it appears daunting at first, however, the easiest way to deal with exponents is to bring them to the same base. This allows for one to have the ability to treat the exponents like an ordinary number. Since ( 27=3^3 ) one can rewrite ( 27^(^3^x^) ) as ( 3^3^*^(^3^x^) ). This is possible because raising a number to an exponent when it already has an exponent is the same as multiplying the two exponents. Rewrite the inequality in this format;

3^(^6^x^+^1^8)

Simplify,

3^(^6^x^+^1^8^)

Since the bases are the same they no longer have any relevance, so one can ignore the bases and only work with the exponents,

6x+18

Now solve this inequality like a normal inequality. Use inverse operations;

6x+18

Answer from: Quest

the answer to your question a or b but i am pretty sure it is b. i hope this : )

step-by-step explanation:

Answer from: Quest

Hfhrhebjrkrnfjfnrjcnfncj ffjntfnf

Another question on Mathematics

Mathematics, 21.06.2019 17:00

What is sin 7x/4 ? i need on this urgent trig

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Find and simplify an expression for the area of five rows of x squares with side lengths of x centimeters.

Answers: 3

Answer

Mathematics, 21.06.2019 20:30

Create a question with this scenario you could ask that could be answered only by graphing or using logarithm. david estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x.

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Find the domain and range of the following function f(x) = 51x - 21+ 4

Answers: 2

Answer

You know the right answer?

Solve the inequality for x
3^(6x+18)<27^(3x)...

Questions