Question

0,6^(x)•0,6^3=0,6^(2x)/0,6^(5)

Answer 1

0.6^x*0.6^3=0.6^2x/0.6^5
0.6^(x+3)=0.6^(2x-5)
x+3=2x-5
3+5=2x-x
x=8

Answer 2

To solve the equation 0.6^x * 0.6^3 = 0.6^(2x) / 0.6^5, you can use the properties of exponents.

First, simplify both sides of the equation by using the properties of exponents:

0.6^(x) * 0.6^3 = 0.6^(2x) / 0.6^5

Now, use the property that when you multiply two numbers with the same base (0.6 in this case) and different exponents, you can add the exponents:

0.6^(x + 3) = 0.6^(2x - 5)

Since the bases are the same (0.6), you can equate the exponents:

x + 3 = 2x - 5

Now, solve for x:

x - 2x = -5 - 3

-1x = -8

To isolate x, divide both sides by -1:

x = 8

So, the solution to the equation is x = 8.