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Solve the following problems: 1. 3^x = 81 2. sqrt(64) 3. sqrt((16)/(25)) 4. Show 5346 is divisible by 9 without dividing.
Mathematics
ScanSolve AI Answer
Step-by-step solution
12 steps3. Solve for x:
Express 81 as a power of 3.
Substitute this into the equation.
Since the bases are the same, equate the exponents.
The value of x is .
4. Find the square root of 64.
Find a number that, when multiplied by itself, equals 64.
Therefore, the square root of 64 is 8.
The square root of 64 is .
5. Find the square root of .
Apply the property of square roots for fractions
.
Find the square root of the numerator (16).
Find the square root of the denominator (25).
Combine the results.
The square root is .
6. Without dividing, show that 5346 is divisible by 9.
Recall the divisibility rule for 9
A number is divisible by 9 if the sum of its digits is divisible by 9.
Calculate the sum of the digits of 5346.
Check if the sum of the digits (18) is divisible by 9.
Since 18 is divisible by 9, the number 5346 is also divisible by 9.
Therefore, .
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