x=4.80989686
by simplifying both sides of the equation, then isolating the variable.
Answer:
x= - 9
Step-by-step explanation:
This problem bothers on the law of indices
Given the expression
3^4x=27^x-3
We can also simplify it using the law
3^4x= 3^3(x-3)
Equating the powers we have
4x= 3(x-3)
Opening bracket
4x= 3x-9
Collecting like terms we have
4x-3x=-9
x=-9
Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full.
