√32°+2/3=(0.6) ^2-3x pls solve I will mark it as a brainliest
Answers
Solve 80+23 = (0.6)2−3x for the value of x
80+23=(0.6)2−3x
It is an equation which contains exponential terms, a ration number, a decimal number and also a linear equation. They constructed a mathematical relation in the form an equation and it is useful to find the value of x mathematically.
This maths problem can be solved in two different approaches to find the value of x.
Step: 1
According to zero exponent rule of the exponentiation, the number 8 raised to the power of zero is one.
⟹1+23=(0.6)2−3x
⟹53=(0.6)2−3x
Step: 2
Write the decimal number 0.6 in fraction form.
⟹53=(610)2−3x
⟹53=(610)2−3x
⟹53=(35)2−3x
Step: 3
53 is the fraction in left hand side expression but the same term is in reciprocal from in right hand side expression. So, express the 35 in its reciprocal from to make terms of both sides have same base.
⟹53=[(53)−1]2−3x
Use power law of exponents to simplify the power of an exponential term at right hand side expression.
⟹53=(53)−1×(2−3x)
⟹53=(53)(−2+3x)
The value of square root is an exponent of 12.
⟹(53)12=(53)(−2+3x)
Step: 4
The fraction 53 is a common base at both sides of the equation. Hence, their exponents should be equal mathematically.
hope it helps you