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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Step 2: Solve for x

Step-by-step explanation:

When given the following equation;

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 () one can rewrite () as (). 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;

Simplify,

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

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

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

77

step-by-step explanation: