book Maths Puzzle Numerical Ability

coin collection worth $2.90 contains nickels, dimes, and quaters. There are three times as many dimes as there are nickels, and the number of quarters is 2 more than the number of nickels

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need answer for the expression 8x - 3, x = the fraction 5 over 2? I am having dificulty solving logirithms once I put them in exponential form and vice versa. Here is the question I am confused on LOGx 16=4/3