You multiply by (1) using the multiplicative inverse if you have 1/x⁻¹ then multiply by (x/x):

How to get an x out of the exponent. The alt+x code shortcuts work only in microsoft word. (a m) n = a (m × n) ex: 5 = 2 ⋅ 7 x 3 x 5 = 2 ⋅ ( 7 3) x an then isolate:

We wouldn't be able to isolate both. Use below alt code shortcuts to type any exponent on your keyboard. The power rule for exponents:

We’ll subtract the exponent in the denominator from the exponent in the numerator keeping the base the same. The \(x\) in now out of the exponent! It is only going to make points worse because this is not the time.

Now take logarithm ln ( 5 / 2) = x ⋅ ln ( 7 / 3) and arrive in x = ln ( 5 / 2) ln. Notice how we have two exponential terms that have different exponents. (4𝒙 2 ) (2𝒙 3) = ?

Doing one, then the other,. One way to factoring expressions with fractions or negative exponents is by finding the variable (or exponent) that is common to each term and pulling out that variable/exponent. Here’s a more complicated question to try:

Of course, we are now stuck with a logarithm in the problem and not only that but we haven’t specified the base of the logarithm. How to solve problems like 3 (raised to the x power) = 5, using base 10 logarithms. 5 / 2 = ( 7 / 3) x.