Question

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Answer 1

The value of k will be equal to 3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as follows:-

3 log 3x- log 9x⁴ + log x = log( 3x)³ -log9x⁴ + logx

                                        = log( 27x³) - log(9x⁴) + logx

                                        = log$\dfrac{27x^3}{9x^4}$ + logx

                                        = log $\dfrac{3}{x}$ + logx

                                        = log$\dfrac{3}{x}\times x$

                                        = log3

Therefore the value of k will be equal to 3.

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