Math question help please




Answer:
log8 (X/Y
x = -4
Step-by-step explanation:
log8 X = log8 Y
= log8 (X/Y)
3^(x-1) = 1 / 243
3^(x - 1) = 1 / 3^5
3^(x - 1) = 3^(-5)
x - 1 = -5
x = -4
Answer: log₈[tex](\frac{X}{Y} )[/tex]
Step-by-step explanation:
log₈X - log₈Y
log rules say that subtraction becomes division when combining into one log
log₈[tex](\frac{X}{Y} )[/tex]
********************************************************************
Answer: -4
Step-by-step explanation:
3ˣ⁻¹ = [tex]\frac{1}{243}[/tex]
3ˣ⁻¹ = 3⁻⁵
x - 1 = -5
+1 +1
x = -4
********************************************************************
Answer: [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
[tex](\frac{1}{6})^{x - 5} = 36^{x}[/tex]
6⁻¹⁽ˣ⁻⁵⁾ = 6²⁽ˣ⁾
-1(x - 5) = 2(x)
-x + 5 = 2x
+x +x
5 = 3x
[tex]\frac{5}{3} = x[/tex]
********************************************************************
Answer: 0
Step-by-step explanation:
log₂ 1 = x
1 = 2ˣ
2⁰ = 2ˣ
0 = x