book Maths Puzzle Numerical Ability

What is the answer to 5^2x = 8?

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book Other Question

write as a logarithm of a single number:

2lna+7lnb-3lnc-lnd

a= ln(14ab/3cd)
b= ln(14abd/3c)
c= ln(a^2b^7d/c^3)
d= ln(a^2b^7/c^3d)
A vending machine has 41.25 in it. There are 255 coins total and the machine only takes nickels, quarters, and dimes. There are twice as many dimes as nickels. How many of each are in the machine.