If 3^x = 3/5 find the value of 3^x - 3 2. If 4^(9-x/2) = 3, find the value of 2^(3x-3)
1. If 3^x = 3/5 find the value of 3^x - 3
2. If 4^(9-x/2) = 3, find the value of 2^(3x-3)
2. If 4^(9-x/2) = 3, find the value of 2^(3x-3)
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info@snapandsolve.comGiven 3x = 3/5, find the value of 3x - 3.
3x - 3 = (3/5) - 3 = 3/5 - 15/5 = -12/5.
Given 4(9-x/2) = 3, find the value of 2(3x-3).
First, express 4 as 22: (22)(9-x/2) = 3, which simplifies to 2(18-x) = 3.
We need to find 2(3x-3). Assume 2(18-x) = 3, then 18-x = log23.
Now, solve for x: x = 18 - log23.
Substitute x into 3x-3: 3(18 - log23) - 3 = 54 - 3log23 - 3 = 51 - 3log23.
Therefore, 2(3x-3) = 2(51 - 3log23).
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