Answer: To solve the expression 7(10^log4.5) without using a calculator, we can simplify it using properties of logarithms and exponents.
Recall the property of logarithms: log(a^b) = b * log(a).
Since log(4.5) is the exponent to which we raise 10 to get 4.5, we can rewrite 10^log(4.5) as just 4.5:
10^log(4.5) = 4.5.
Now, the expression becomes:
7 * 4.5.
Finally, compute the product:
7 * 4.5 = 31.5.
So, the value of the expression 7(10^log4.5) is 31.5.