if (3/5)^1-2x = (5/3)^3 , Then x equals to?
Answers
Answer:
(3/5)^1–2x = (5/3)^3 Possible intermediate steps Solve for x: (3/5)^1–2x=(5/3)^3 Put each ... What is the value of x? ... I squared the (-x) ^ 2 first and got x then multipled it by 2, so I got - 2x.
Step-by-step explanation:
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Answer:
(3/5)^1–2x = (5/3)^3
ᴘᴏssɪʙʟᴇ ɪɴᴛᴇʀᴍᴇᴅɪᴀᴛᴇ sᴛᴇᴘs
sᴏʟᴠᴇ ғᴏʀ x:
(3/5)^1–2x=(5/3)^3
ᴘᴜᴛ ᴇᴀᴄʜ ᴛᴇʀᴍ ɪɴ 3/5–2x ᴏᴠᴇʀ ᴛʜᴇ ᴄᴏᴍᴍᴏɴ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ 5: 3/5–2x=3/5–10x/5:
(3/5–10x/5)=(5/3)^3
3/5–10x/5=3–10x/5
3–10x/5=(5/3)^3
(5/3)^3=5^3/3^3
3–10x\5=5^3/3^3
5^3=5*5^2
3–10x/5=5*5^2/3^3
3^3=3*3^2
3–10x/5=5*5^2/3*3^2
3^2=9
3–10x/5=5x5^2/3*9
5^2=25
3–10x/5=5*25/3*9
3*9=27
3–10x/5=5*25/27
5*25=125
3–10x\5=125/27
ᴍᴜʟᴛɪᴘʟʏ ʙᴏᴛʜ sɪᴅᴇs ᴏғ 3–10x/5=125/27 ʙʏ 5:
5(3–10x)/5=5*125/27
5*125=625
3–10x=625/27
sᴜʙᴛʀᴀᴄᴛ 3 ғʀᴏᴍ ʙᴏᴛʜ sɪᴅᴇs
(3–3)-10x=625/27–3
3–3=0
-10x=625/27–3
ᴘᴜᴛ 625/27–3 ᴏᴠᴇʀ ᴛʜᴇ ᴄᴏᴍᴍᴏɴ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ 27. 625/27 -3=625/27+27(-3)/27:
-10x=625/27–3*27/27
27(-3)=-81
-10x=625/27+-81/27 +-=-
625/27 - 81/27 = 625–81/27
-10x=625–81/27
625–81=544
-10x=544/27
ᴅɪᴠɪᴅᴇ ʙᴏᴛʜ sɪᴅᴇs ᴏғ -10x=544/27 ʙʏ -10
-10x/-10=1/-10*1/27*544
-10/-10=1
x=-1/-10*1/27*1/544
ᴛʜᴇ ɢʀᴇᴀᴛᴇsᴛ ᴄᴏᴍᴍᴏɴ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ᴏғ 544 ᴀɴᴅ -10 ɪs 2, sᴏ 544/27*(-10)=2*272\27(2(-5))=2/2*272/27*(-5)=272/27*(-5)
x=272/27*(-5)
27(-5)=135
x=272/-135
ᴍᴜʟᴛɪᴘʟʏ ɴᴜᴍᴇʀᴀᴛᴏʀ ᴀɴᴅ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ᴏғ 272/-135 ʙʏ -1:
ᴀɴsᴡᴇʀ:
x=-272/135
-272/135=-2.0148
-272/135=-2.0148
sᴏ
ᴀɴsᴡᴇʀ:
x=-2.0148
Step-by-step explanation:
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ ❣️ ғᴏʟʟᴏᴡ ᴍᴇ