Me with this, i’ve been struggling with it for quite a while.

ergs

Step-by-step explanation:

Given M = 5.2, we can substitute this into the formula and take Log formula into exponential form and solve henceforth.

First, log to exponential >>>>

Let's put M = 5.2 into the formula and divide by 2/3 to get in log and then change it to exponential form:

Now, we are looking for E, the Energy of the earthquake.

We need to cross multiply and find E. But remember rule of multiplying 2 same bases with different exponents. Its is shown below:

So we have:

So, Energy is 10^{19.5961} ergs