R2C2 Logo Design

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This customer received 199 logo designs from 54 designers. They chose this logo design from Shahin Sikder as the winning design.
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I need a logo design for a consulting business. The business is run by 2 women lawyers who provide advice and real solutions in a timely manner for regulatory compliance & strategic legal advisory services. They target a variety of industries including oil & gas, mining, forestry, renewable energy, electricity and agriculture.
They want their brand not to represent the traditional "stuffy", "cold" corporate feel. See the inspiration board I attached below to show the feel they are going for and the brand colors we are using. They want their logo to convey bold, innovative, approachable, trustworthy, clean, and efficient. The colors in the brand make it feel really fun but I want the logo to convey professionalism.
One idea they had for their logo is to put "RC" into a square with another square around to convey "R squared, C squared". I'm not sure if this is the right way to go but they do like the idea of incorporating a square or an icon into their logo.
Here is a link to their Pinterest board they created for logo inspiration: https://pin.it/vum3zf6g7tmsib
Brand Colors:
Purple - 682E5A
Pink/Red - EC2049
Teal - 2F9599
Yellow - F7DB4E
Off-white - F4EDE3
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Industry/Entity Type
Business
Logo Text
R2C2 Advisory Services
Font styles to use
Look and feel
Each slider illustrates characteristics of the customer's brand and the style your logo design should communicate.