Let's first simplify the expression inside the parentheses:
log 0.3 9 - 2 log 0.3 10
= log 0.3 9 - log 0.3 100 (since log a - log b = log(a/b))
= log 0.3 (9/100)
= log 0.3 (0.09) (since 0.09 = 9/100)
= log 0.3 0.09
Now, we can rewrite this as:
log 0.3 0.09 = x (let's assume this value is x)
0.3^x = 0.09
Now, find x:
x = log 0.3 0.09
x = log 0.09 / log 0.3
x = -2 / -0.5229 (approximation of log 0.3 0.09)
x ≈ 3.819
Finally, we raise this value to the power of 4:
(3.819)^4 ≈ 224.306
So, the final answer is approximately 224.306.
Let's first simplify the expression inside the parentheses:
log 0.3 9 - 2 log 0.3 10
= log 0.3 9 - log 0.3 100 (since log a - log b = log(a/b))
= log 0.3 (9/100)
= log 0.3 (0.09) (since 0.09 = 9/100)
= log 0.3 0.09
Now, we can rewrite this as:
log 0.3 0.09 = x (let's assume this value is x)
0.3^x = 0.09
Now, find x:
x = log 0.3 0.09
x = log 0.09 / log 0.3
x = -2 / -0.5229 (approximation of log 0.3 0.09)
x ≈ 3.819
Finally, we raise this value to the power of 4:
(3.819)^4 ≈ 224.306
So, the final answer is approximately 224.306.