What is the answer to log_{35}(x-70)=3-log_{35}(x) ?

The answer to log_{35}(x-70)=3-log_{35}(x) is x=245

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log_{35}(x-70)=3-log_{35}(x)

lo g_{35} (x - 70) = 3 - lo g_{35} (x)

x = 245

Solution steps

lo g_{35} (x - 70) = 3 - lo g_{35} (x)

Add

lo g_{35} (x)

to both sides

lo g_{35} (x - 70) + lo g_{35} (x) = 3 - lo g_{35} (x) + lo g_{35} (x)

Simplify

lo g_{35} (x - 70) + lo g_{35} (x) = 3

Apply log rules

(x - 70) x = 42875

Solve

(x - 70) x = 42875 : x = 245, x = - 175

x = 245, x = - 175

Verify Solutions:

x = 245

True

, x = - 175

False

The solution is

x = 245

ln (x) = 4.323

lo g_{2} (x - 3) = 2 - lo g_{2} (x)

7 = lo g_{10} (x)

lo g_{7} (3 x) = 3

lo g_{10} (3 x - 5) = 3

What is the answer to log_{35}(x-70)=3-log_{35}(x) ?
The answer to log_{35}(x-70)=3-log_{35}(x) is x=245
Solve for x: log_{35}(x-70)=3-log_{35}(x)
The solution is x=245