1) For the first equation 56^2x-46x-1=0, we first simplify it by using the order of operations (PEMDAS).
In mathematical order of operations, the exponents are first calculated, then multiplication and division, and then addition and subtraction.
Given equation:56^2x - 46x - 1 = 0
First, calculate the exponents:6^2 = 36
Simplify the equation:536x - 46x - 1 = 0180x - 24x - 1 = 0156x - 1 = 0156x = 1x = 1/156
Therefore, the solution to the first equation is x = 1/156.
2) For the second equation 2.2^3x + 1 = 31:
Given equation:2.2^3x + 1 = 31
First, calculate the exponent:2.2^3 = 10.648
Then simplify the equation:10.648x + 1 = 3110.648x = 30x = 30 / 10.648x ≈ 2.8152
Therefore, the solution to the second equation is x ≈ 2.8152.
1) For the first equation 56^2x-46x-1=0, we first simplify it by using the order of operations (PEMDAS).
In mathematical order of operations, the exponents are first calculated, then multiplication and division, and then addition and subtraction.
Given equation:
56^2x - 46x - 1 = 0
First, calculate the exponents:
6^2 = 36
Simplify the equation:
536x - 46x - 1 = 0
180x - 24x - 1 = 0
156x - 1 = 0
156x = 1
x = 1/156
Therefore, the solution to the first equation is x = 1/156.
2) For the second equation 2.2^3x + 1 = 31:
Given equation:
2.2^3x + 1 = 31
First, calculate the exponent:
2.2^3 = 10.648
Then simplify the equation:
10.648x + 1 = 31
10.648x = 30
x = 30 / 10.648
x ≈ 2.8152
Therefore, the solution to the second equation is x ≈ 2.8152.